Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation | Paper Citation Record

Observation 8bf1af63-1380-4f91-863e-e3bba0427eff · outbound

This paper cites Hopfinger, and Robert A.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Hopfinger, and Robert A

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This paper cites Apolin´ ario, Geoffrey Beck, Laurent Chevillard, Isabelle Gallagher, and Ricardo Grande.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Apolin´ ario, Geoffrey Beck, Laurent Chevillard, Isabelle Gallagher, and Ricardo Grande

Reference 2

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This paper cites Apolin´ ario, Laurent Chevillard, and Jean-Christophe Mourrat.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Apolin´ ario, Laurent Chevillard, and Jean-Christophe Mourrat

Reference 3

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This paper cites Reducibility of the quan- tum harmonic oscillator in d-dimensions with polynomial time-dependent perturbation.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Reducibility of the quan- tum harmonic oscillator in d-dimensions with polynomial time-dependent perturbation

Reference 4

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This paper cites Growth of Sobolev norms for unbounded perturbations of the Schr¨ odinger equation on flat tori.J.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Growth of Sobolev norms for unbounded perturbations of the Schr¨ odinger equation on flat tori.J

Reference 5

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Observation 87f1dc35-07ef-4d2c-9e98-574f5d218996 · outbound

This paper cites Banica and L.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Banica and L

Reference 6

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Observation f0adf4c4-8ba2-48ed-9f9e-504dc00e6cdd · outbound

This paper cites Multifractality and intermit- tency in the limit evolution of polygonal vortex filaments.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Multifractality and intermit- tency in the limit evolution of polygonal vortex filaments

Reference 7

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Observation 24e53a8f-28d9-4a9a-933c-6c2cf55e0089 · outbound

This paper cites Blow-up for the 1D cubic NLS.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Blow-up for the 1D cubic NLS

Reference 8

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Observation c6762c03-7574-44b0-9f5d-dbcdf88c3be8 · outbound

This paper cites Scattering for 1d cubic NLS and singular vortex dynamics.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Scattering for 1d cubic NLS and singular vortex dynamics

Reference 9

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Observation 755d2696-20af-48a5-8f65-3f9512577321 · outbound

This paper cites Stability of the self-similar dynamics of a vortex filament.Arch.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Stability of the self-similar dynamics of a vortex filament.Arch

Reference 10

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Observation defe381c-571b-43f7-84eb-d9796b2e6ce1 · outbound

This paper cites The initial value problem for the binormal flow with rough data.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation The initial value problem for the binormal flow with rough data

Reference 11

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Observation e1e38381-4bb8-4fd6-9942-5a832a38e725 · outbound

This paper cites Evolution of polygonal lines by the binormal flow.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Evolution of polygonal lines by the binormal flow

Reference 12

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Observation bfab464e-5530-4620-a854-6e038503e2e0 · outbound

This paper cites On the energy of critical solutions of the binormal flow.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation On the energy of critical solutions of the binormal flow

Reference 13

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Observation d98b1ead-138d-4093-8f95-254067ce522c · outbound

This paper cites Riemann’s non-differentiable function and the binormal curvature flow.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Riemann’s non-differentiable function and the binormal curvature flow

Reference 14

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Observation 7ca24cea-6947-4c09-83b1-723be72cd051 · outbound

This paper cites Unbounded growth of the energy density associated to the Schr¨ odinger map and the binormal flow.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Unbounded growth of the energy density associated to the Schr¨ odinger map and the binormal flow

Reference 15

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Observation 64cdada8-c7ec-4b9e-b2be-1cb4a5659f7a · outbound

This paper cites New conservation laws and energy cascade for 1d cubic NLS and the Schr¨ odinger map.Vietnam J.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation New conservation laws and energy cascade for 1d cubic NLS and the Schr¨ odinger map.Vietnam J

Reference 16

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Observation 03a04199-d709-4a6c-b943-9fc1e3bf4218 · outbound

This paper cites The Frisch-Parisi conjecture.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation The Frisch-Parisi conjecture

Reference 17

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This paper cites The Frisch-Parisi conjecture.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation The Frisch-Parisi conjecture

Reference 18

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Observation fbbf5b85-5d40-48e5-9e59-51f93de9a91d · outbound

This paper cites Vortex filament solutions of the Navier-Stokes equations.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Vortex filament solutions of the Navier-Stokes equations

Reference 19

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This paper cites A mass transference principle and the Duffin-Schaeffer conjec- ture for Hausdorff measures.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation A mass transference principle and the Duffin-Schaeffer conjec- ture for Hausdorff measures

Reference 20

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Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Unresolved cited work

Reference 21

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This paper cites Quantum fractals in boxes.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Quantum fractals in boxes

Reference 22

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Observation 95955862-f8b3-4406-b5a3-6dbaf99f82e2 · outbound

This paper cites Quantum carpets, carpets of light.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Quantum carpets, carpets of light

Reference 23

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Reference 24

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This paper cites Turbulent cascades in a truncation of the cubic Szego equation and related systems.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Turbulent cascades in a truncation of the cubic Szego equation and related systems

Reference 25

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Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Unresolved cited work

Reference 26

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Observation e5d6f405-eb9a-4088-b45e-27e56a09c06c · outbound

This paper cites Bona and Jean-Claude Saut.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Bona and Jean-Claude Saut

Reference 27

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This paper cites Intermittency of Riemann’s non-differentiable function through the fourth-order flatness.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Intermittency of Riemann’s non-differentiable function through the fourth-order flatness

Reference 28

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Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Unresolved cited work

Reference 29

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Observation 44b02d10-5581-4c9a-937a-a5d86215b73c · outbound

This paper cites Aspects of long time behaviour of solutions of nonlinear Hamiltonian evolution equa- tions.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Aspects of long time behaviour of solutions of nonlinear Hamiltonian evolution equa- tions

Reference 30

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Observation 7ab781c3-c6fc-4dfa-9d89-927d32a8bb55 · outbound

This paper cites On the growth in time of higher Sobolev norms of smooth solutions of Hamiltonian PDE.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation On the growth in time of higher Sobolev norms of smooth solutions of Hamiltonian PDE

Reference 31

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This paper cites Growth of Sobolev norms in linear Schr¨ odinger equations with quasi-periodic potential.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Growth of Sobolev norms in linear Schr¨ odinger equations with quasi-periodic potential

Reference 32

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Observation 1cdcd7e4-9239-4bb3-abee-e9aa3d4f7fb5 · outbound

This paper cites On the one dimensional cubic NLS in a critical space.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation On the one dimensional cubic NLS in a critical space

Reference 33

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Observation 994282f1-f5a1-41b6-a1e3-ca1c18440c8c · outbound

This paper cites The pointwise behavior of Riemann’s function.J.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation The pointwise behavior of Riemann’s function.J

Reference 34

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Reference 35

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This paper cites Structure of Green’s function of elliptic equations and helical vortex patches for 3d incompressible Euler equations.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Structure of Green’s function of elliptic equations and helical vortex patches for 3d incompressible Euler equations

Reference 36

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Observation fe8ba404-5fe4-4047-8bb7-fa0d85463155 · outbound

This paper cites Energy cascades for NLS on the torus.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Energy cascades for NLS on the torus

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:01.179408Z

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Observation 7d4056fc-fd4c-465d-8a96-73f68dc5e4e6 · outbound

This paper cites Universal dynamics for the defocusing logarithmic Schr¨ odinger equation.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Universal dynamics for the defocusing logarithmic Schr¨ odinger equation

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:01.158884Z

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Observation 3cee5d2b-6fe3-40e7-a393-d93f974abdbc · outbound

This paper cites Norm-inflation with infinite loss of regularity for periodic NLS equations in negative Sobolev spaces.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Norm-inflation with infinite loss of regularity for periodic NLS equations in negative Sobolev spaces

Reference 39

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Observation de1ecbad-0fe4-491c-8bbf-b74045523e3d · outbound

This paper cites Weissler.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Weissler

Reference 40

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Observation 6d7c910e-fc59-42a7-b06a-82b490ff55df · outbound

This paper cites Multifractal behavior of polynomial Fourier series.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Multifractal behavior of polynomial Fourier series

Reference 41

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Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Unresolved cited work

Reference 42

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Observation c195edb7-8bfd-47b8-b27e-3f42570ff9b1 · outbound

This paper cites Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations

Reference 43

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This paper cites Attractors for two-dimensional waves with homo- geneous Hamiltonians of degree 0.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Attractors for two-dimensional waves with homo- geneous Hamiltonians of degree 0

Reference 44

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Observation bf5d8190-e5f0-4238-adf2-1b3e87b72e93 · outbound

This paper cites Colliander, Markus Keel, Gigliola Staffilani, Hideo Takaoka, and Terence Tao.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Colliander, Markus Keel, Gigliola Staffilani, Hideo Takaoka, and Terence Tao

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:01.021163Z

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Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Unresolved cited work

Reference 46

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This paper cites Sul moto d’un liquido indefinito con un filetto vorticoso di forma qualunque.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Sul moto d’un liquido indefinito con un filetto vorticoso di forma qualunque

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.982428Z

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Observation 8d643a97-5cfc-4f6f-b718-24a57c0be040 · outbound

This paper cites Travelling helices and the vortex filament conjecture in the incompressible Euler equations.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Travelling helices and the vortex filament conjecture in the incompressible Euler equations

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.961135Z

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Observation 64a86f10-c4c4-4de1-a3f9-190bac5beeb9 · outbound

This paper cites On the evolution of the vortex filament equation for regular M -polygons with nonzero torsion.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation On the evolution of the vortex filament equation for regular M -polygons with nonzero torsion

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.939028Z

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Observation 4619870e-2782-4df6-bc84-834da25b07f0 · outbound

This paper cites Vortex filament equation for a regular polygon.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Vortex filament equation for a regular polygon

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.918391Z

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Observation 615d0757-f5e8-451a-98a8-9222b99f0586 · outbound

This paper cites On the relationship between the one-corner problem and the M -corner problem for the vortex filament equation.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation On the relationship between the one-corner problem and the M -corner problem for the vortex filament equation

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.890095Z

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Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Unresolved cited work

Reference 52

Resolution: unresolved; raw_fallback, observed 2026-08-11T12:41:00.866576Z

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Observation d025c381-a197-44b9-8135-f2039a97d98c · outbound

This paper cites Growth of solutions to NLS on irrational tori.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Growth of solutions to NLS on irrational tori

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.831899Z

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Observation f958a37b-9180-453f-9abf-25c71e1c06ff · outbound

This paper cites Dynamics of helical vortex filaments in non viscous incompressible flows.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Dynamics of helical vortex filaments in non viscous incompressible flows

Reference 54

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Observation 823bd688-591d-4278-89c5-26b9b09f5f07 · outbound

This paper cites Duffin and Albert C.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Duffin and Albert C

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.810726Z

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Observation 65c8fd09-a097-4c42-a851-4338800f51c5 · outbound

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Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Unresolved cited work

Reference 56

Resolution: unresolved; raw_fallback, observed 2026-08-11T12:41:00.790387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d3cd7ce7-bd95-4f76-8c16-207ba98480ff · outbound

This paper cites On weakly turbulent solutions to the perturbed linear harmonic oscillator.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation On weakly turbulent solutions to the perturbed linear harmonic oscillator

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.772806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1a55320d-7361-4f9b-a7f2-96da2a897c45 · outbound

This paper cites Meichle, Nicolas T.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Meichle, Nicolas T

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.755370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ab987faa-306f-40c6-82cb-299727c9a35f · outbound

This paper cites Evolution of viscous vortex filaments and desingularization of the Biot-Savart integral.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Evolution of viscous vortex filaments and desingularization of the Biot-Savart integral

Reference 59

Resolution: verified exact; local_arxiv, observed 2026-08-11T12:40:59.630024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 59e46735-40bf-4486-93ea-e2315507330a · outbound

This paper cites Transport of gaussian measures under the flow of one-dimensional fractional nonlinear schr¨ odinger equations.Comm.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Transport of gaussian measures under the flow of one-dimensional fractional nonlinear schr¨ odinger equations.Comm

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.728666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c1dd1fa0-8525-471e-9e3b-151cb51e1c70 · outbound

This paper cites Turbulence: The legacy of A.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Turbulence: The legacy of A

Reference 61

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.704744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1d9f6b82-cb52-4961-a363-84cc6cd9551f · outbound

This paper cites Vanishing viscosity limit for axisymmetric vortex rings.Invent.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Vanishing viscosity limit for axisymmetric vortex rings.Invent

Reference 62

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.681382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f305e6e5-f319-4c99-8eb1-83cbfd46a9a7 · outbound

This paper cites Kurianski, and Gigliola Staffilani.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Kurianski, and Gigliola Staffilani

Reference 63

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.657723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f2859179-7713-4023-beed-4e3aa4d7d5ce · outbound

This paper cites Effective integrable dynamics for a certain nonlinear wave equation.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Effective integrable dynamics for a certain nonlinear wave equation

Reference 64

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.640943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation abc3891d-4ddb-46c6-9a88-5bb81cb19af1 · outbound

This paper cites Paris: Soci´ et´ e Math´ ematique de France (SMF), 2017.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Paris: Soci´ et´ e Math´ ematique de France (SMF), 2017

Reference 65

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.618244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c8c3d978-fc05-4b27-ae23-e86c8ad01a09 · outbound

This paper cites Turbulent cascades for a family of damped Szeg˝ o equations.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Turbulent cascades for a family of damped Szeg˝ o equations

Reference 66

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.592568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3f139971-5408-4e58-a5e3-c5c1fa1c29c1 · outbound

This paper cites The Calogero-Moser derivative nonlinear Schr¨ odinger equation.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation The Calogero-Moser derivative nonlinear Schr¨ odinger equation

Reference 67

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.570219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e66458fb-a171-4bf4-9414-1b4c7761d2dd · outbound

This paper cites A two-soliton with transient turbulent regime for the cubic half-wave equation on the real line.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation A two-soliton with transient turbulent regime for the cubic half-wave equation on the real line

Reference 68

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.548048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2dea1e38-8e1f-43e4-b2ce-43ce13d5c5d0 · outbound

This paper cites Ginibre and G.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Ginibre and G

Reference 69

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.530952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6bfefdc1-ddc6-4b44-b1f9-9e03bb899dd7 · outbound

This paper cites Sobolev norms explosion for the cubic NLS on irrational tori.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Sobolev norms explosion for the cubic NLS on irrational tori

Reference 70

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.509937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ad63dba4-24ad-48ab-b6ea-0a40f902934c · outbound

This paper cites Beating effects in cubic Schr¨ odinger systems and growth of Sobolev norms.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Beating effects in cubic Schr¨ odinger systems and growth of Sobolev norms

Reference 71

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.485744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 35e1a2e8-d516-428a-b407-c5ce651ccaf5 · outbound

This paper cites Grinstein and Carl R.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Grinstein and Carl R

Reference 72

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.467974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b1e4f44b-b3fe-4a15-a5bb-10a010217571 · outbound

This paper cites Bi- and trilinear Schr¨ odinger estimates in one space dimension with applications to cubic NLS and DNLS.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Bi- and trilinear Schr¨ odinger estimates in one space dimension with applications to cubic NLS and DNLS

Reference 73

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.444294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 282d5b35-a016-4d6a-acf3-f7e624cb8c9c · outbound

This paper cites Guardia and Vadim Kaloshin.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Guardia and Vadim Kaloshin

Reference 74

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.424442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4d384c0e-4ffe-461c-a485-e31162532699 · outbound

This paper cites Strong nonlinear instability and growth of Sobolev norms near quasiperiodic finite gap tori for the 2d cubic NLS equation.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Strong nonlinear instability and growth of Sobolev norms near quasiperiodic finite gap tori for the 2d cubic NLS equation

Reference 75

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.408263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3cd929c0-1082-4a27-8ac5-6db13696f5d4 · outbound

This paper cites A new class of critical solutions for 1d cubic NLS.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation A new class of critical solutions for 1d cubic NLS

Reference 76

Resolution: verified exact; raw_fallback, observed 2026-08-11T12:40:59.603134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation bc9073ac-34a1-4cd2-87bb-fa3d5d45774b · outbound

This paper cites On self-similar singularity formation for the binormal flow.J.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation On self-similar singularity formation for the binormal flow.J

Reference 77

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.390269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation acd5f26c-f74b-4e2f-a315-c76ece7592a0 · outbound

This paper cites Formation of singularities and self-similar vortex motion under the localized induction approximation.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Formation of singularities and self-similar vortex motion under the localized induction approximation

Reference 78

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.372779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d0ad72f6-7807-45af-aa4f-10e889665894 · outbound

This paper cites Long-time instability and unbounded Sobolev orbits for some periodic nonlinear Schr¨ odinger equations.Arch.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Long-time instability and unbounded Sobolev orbits for some periodic nonlinear Schr¨ odinger equations.Arch

Reference 79

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.354697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a9fff682-c71a-43f6-afbd-661a26884ea1 · outbound

This paper cites Modified scattering for the cubic Schr¨ odinger equation on product spaces and applications.Forum Math.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Modified scattering for the cubic Schr¨ odinger equation on product spaces and applications.Forum Math

Reference 80

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.336457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0118f14f-c1af-4fb0-9b5d-5f9ab4453675 · outbound

This paper cites Sharp well-posedness for the cubic NLS and mKdV in H s(R).

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Sharp well-posedness for the cubic NLS and mKdV in H s(R)

Reference 81

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.317787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation da86d113-f137-49dc-963e-19a2eeac54ae · outbound

This paper cites A soliton on a vortex filament.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation A soliton on a vortex filament

Reference 82

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.301621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation bc29afe4-b63f-417a-9b83-6c2a97d9263a · outbound

This paper cites The spectrum of singularities of Riemann’s function.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation The spectrum of singularities of Riemann’s function

Reference 83

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.287078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 945e89e5-8121-4dd1-b390-2a1a619fcc50 · outbound

This paper cites On simultaneous Diophantine approximations.Math.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation On simultaneous Diophantine approximations.Math

Reference 84

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.270405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a5e84857-8a71-4299-9539-975d6fbb3b75 · outbound

This paper cites Jerrard and Christian Seis.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Jerrard and Christian Seis

Reference 85

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.253643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a4441a0a-a559-427f-b2e8-dd9f6dc47ec3 · outbound

This paper cites Jerrard and Didier Smets.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Jerrard and Didier Smets

Reference 86

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.235444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7086949d-3809-4c05-adfd-040a980a76bb · outbound

This paper cites Does a quantum particle know the time? In Emerging ap- plications of number theory (Minneapolis, MN, 1996) , volume 109 of IMA Vol.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Does a quantum particle know the time? In Emerging ap- plications of number theory (Minneapolis, MN, 1996) , volume 109 of IMA Vol

Reference 87

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.219225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0b43939f-1811-4a85-b617-a9d6a56d1deb · outbound

This paper cites Scattering-like phenomena of the periodic defo- cusing NLS equation.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Scattering-like phenomena of the periodic defo- cusing NLS equation

Reference 88

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.199698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation fced4377-84e4-4f69-9c4a-bbb4b20ed100 · outbound

This paper cites Kenig, Gustavo Ponce, and Luis Vega.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Kenig, Gustavo Ponce, and Luis Vega

Reference 89

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.180763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 67692768-5a44-4318-b684-afb1990d1f0b · outbound

This paper cites Low regularity conservation laws for integrable PDE.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Low regularity conservation laws for integrable PDE

Reference 90

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.161857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation aedb7710-589a-4133-bfbc-86884d62ae7d · outbound

This paper cites Well-posedness of the Cauchy problem for the Korteweg-de Vries equation at the critical regularity.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Well-posedness of the Cauchy problem for the Korteweg-de Vries equation at the critical regularity

Reference 91

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.144652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 26739aa5-7bd2-4567-bb1b-8eb176fcad84 · outbound

This paper cites Mode generating property of solutions to the nonlinear Schr¨ odinger equations in one space dimension.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Mode generating property of solutions to the nonlinear Schr¨ odinger equations in one space dimension

Reference 92

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.127360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b23cc6d7-a82d-4f69-922c-be90286b2281 · outbound

This paper cites Conserved energies for the cubic nonlinear Schr¨ odinger equation in one dimension.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Conserved energies for the cubic nonlinear Schr¨ odinger equation in one dimension

Reference 93

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.108694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6cfb458b-194a-425e-987e-cccb124417f0 · outbound

This paper cites The vortex filament equation and a semilinear Schr¨ odinger equation in a Hermitian symmetric space.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation The vortex filament equation and a semilinear Schr¨ odinger equation in a Hermitian symmetric space

Reference 94

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.088871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 06aa0f15-3dc1-4e08-957d-593a09be7c61 · outbound

This paper cites On the Duffin-Schaeffer conjecture.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation On the Duffin-Schaeffer conjecture

Reference 95

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:41:00.065805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5a520a8d-3bda-49b3-a824-489375694acc · outbound

This paper cites an unresolved cited work.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Unresolved cited work

Reference 96

Resolution: unresolved; raw_fallback, observed 2026-08-11T12:41:00.044392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c958621a-85ef-4df9-85d1-fdf4bf4480b5 · outbound

This paper cites an unresolved cited work.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Unresolved cited work

Reference 97

Resolution: unresolved; raw_fallback, observed 2026-08-11T12:41:00.017474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e393f81d-d028-4b9f-8a05-ed7a3f68ac86 · outbound

This paper cites On the evolution of higher dimensional Heisenberg continuum spin systems.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation On the evolution of higher dimensional Heisenberg continuum spin systems

Reference 98

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:40:59.994453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b9601a10-8634-40df-84d0-9ae53f419f33 · outbound

This paper cites Landau and Evgueni Lifshitz.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Landau and Evgueni Lifshitz

Reference 99

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:40:59.974322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a28f6af8-3b9f-41cd-9fc5-0fb234c7aa34 · outbound

This paper cites On uniqueness and continuation properties after blow-up time of self-similar solutions of nonlinear Schr¨ odinger equation with critical exponent and critical mass.Comm.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation On uniqueness and continuation properties after blow-up time of self-similar solutions of nonlinear Schr¨ odinger equation with critical exponent and critical mass.Comm

Reference 100

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:40:59.958345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Coverage vector

Reference resolution

Outbound references

Pith citing papers