Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence | Paper Citation Record

Observation 10d096dd-8ba0-4fdd-bdc2-dc059ac37d1c · outbound

This paper cites From the butterfly effect to spontaneous stochasticity in singular shear flows.Communications Physics, 3(1):122, 2020.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence From the butterfly effect to spontaneous stochasticity in singular shear flows.Communications Physics, 3(1):122, 2020

Reference 1

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Observation 57860a8f-a15f-4779-8d18-22603dd4e1fb · outbound

This paper cites Rayleigh–Taylor turbulence with singular nonuniform initial conditions.Physical Review Fluids, 3(9):092601, 2018.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Rayleigh–Taylor turbulence with singular nonuniform initial conditions.Physical Review Fluids, 3(9):092601, 2018

Reference 2

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Observation a297fe00-42b1-4640-9244-8a2c9dd45216 · outbound

This paper cites Spontaneous stochasticity in the Armstrong–Vicol passive scalar.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Spontaneous stochasticity in the Armstrong–Vicol passive scalar

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:34.549916Z

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Observation b538619f-3aa9-4ee0-8102-715cf425dbac · outbound

This paper cites Palmer, A.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Palmer, A

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:34.679472Z

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Observation 8f6f2b22-ff15-4cd3-8f25-4e900a03a590 · outbound

This paper cites Rotunno and C.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Rotunno and C

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:34.804299Z

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Observation 7cc7e566-b56a-4f3d-aafc-c66332894756 · outbound

This paper cites Valade, S.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Valade, S

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:34.977209Z

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Observation e36c0e80-1321-4e59-8ffe-456794bcc133 · outbound

This paper cites Intermittency and predictability in turbulence.Physical Review Letters, 70(2):166, 1993.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Intermittency and predictability in turbulence.Physical Review Letters, 70(2):166, 1993

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:35.111419Z

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Observation 42afe4d1-1446-409f-ba62-c93bca811ae8 · outbound

This paper cites Mailybaev.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Mailybaev

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:35.265246Z

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Observation f27e99fb-d3c4-4df5-9537-234d4d1f4aad · outbound

This paper cites Bandak, A.A.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Bandak, A.A

Reference 9

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Observation 0de2b506-6830-4769-a645-a14c1948bcc1 · outbound

This paper cites RG approach to the inviscid limit for shell models of turbulence.Nonlinearity, 38(8):085010, aug 2025.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence RG approach to the inviscid limit for shell models of turbulence.Nonlinearity, 38(8):085010, aug 2025

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:35.573239Z

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Observation 9a2ce885-91b1-49ef-98c3-e0deed87feeb · outbound

This paper cites Campolina, and Alexei A.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Campolina, and Alexei A

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:35.625503Z

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Observation bb1626cc-9af2-4716-b39c-c98762ae08b2 · outbound

This paper cites A Measure-Theoretic Approach to Spontaneous Stochasticity.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence A Measure-Theoretic Approach to Spontaneous Stochasticity

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:35.682092Z

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Observation 7f1b1ba4-917d-480e-87b8-fc7fab4b4a1e · outbound

This paper cites Drivas and A.A.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Drivas and A.A

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:35.774052Z

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Observation e80c6094-b3a7-4f32-bc9a-6cb4026dc170 · outbound

This paper cites Drivas, A.A.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Drivas, A.A

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:35.838330Z

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Observation 9f0c36e5-c0e3-40d8-a58d-be0721219d06 · outbound

This paper cites Spontaneous stochasticity in a 3d weierstrass-abc flow.Nonlinearity, 39(1):015018, jan 2026.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Spontaneous stochasticity in a 3d weierstrass-abc flow.Nonlinearity, 39(1):015018, jan 2026

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:35.902525Z

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Observation 8dbfa85a-9b19-4863-83a0-8867dd15c526 · outbound

This paper cites Mailybaev and A.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Mailybaev and A

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:35.968484Z

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Observation 439ea6cc-c780-42eb-b2e0-5cad4bac434f · outbound

This paper cites Eyink and D.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Eyink and D

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:36.045773Z

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Observation 33fcf4ae-0559-46f3-9d08-69ea7fb11f67 · outbound

This paper cites Armstrong and V.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Armstrong and V

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:36.141308Z

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Observation a78e1861-8006-4e13-a81e-f06595319d4f · outbound

This paper cites Remarks on regularization by noise, convex integration and spontaneous stochas- ticity.Milan Journal of Mathematics, 92(2):349–370, 2024.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Remarks on regularization by noise, convex integration and spontaneous stochas- ticity.Milan Journal of Mathematics, 92(2):349–370, 2024

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:36.233283Z

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Observation 6c5efe92-5bc0-4785-b1a8-42c8a585784e · outbound

This paper cites Beyond chaos: fluctuations, anomalies and spontaneous stochasticity in fluid turbulence.arXiv preprint arXiv:2512.24469, 2025.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Beyond chaos: fluctuations, anomalies and spontaneous stochasticity in fluid turbulence.arXiv preprint arXiv:2512.24469, 2025

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:36.295927Z

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Observation 66381234-d3d5-4878-ba97-79b5838c3372 · outbound

This paper cites A dissipative random velocity field for fully developed fluid turbulence.Journal of Fluid Mechanics, 794:369–408, 2016.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence A dissipative random velocity field for fully developed fluid turbulence.Journal of Fluid Mechanics, 794:369–408, 2016

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:36.386858Z

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Observation 71e44d90-5eb9-4c5e-bfce-4663203eefa0 · outbound

This paper cites A spatio-temporal random synthetic turbulent velocity field: The underlying gaussian structure.Journal of Fluid Mechanics, 1030:A23, 2026.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence A spatio-temporal random synthetic turbulent velocity field: The underlying gaussian structure.Journal of Fluid Mechanics, 1030:A23, 2026

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:36.478008Z

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Observation 1619f97e-75dd-4de1-908d-e6916dd2898d · outbound

This paper cites an unresolved cited work.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:36.538651Z

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Observation c12f3930-2244-49c3-8dd9-e71d7603cd9e · outbound

This paper cites Springer Science & Business Media, 2011.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Springer Science & Business Media, 2011

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:36.606523Z

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Observation 122fb610-a791-4962-9cd0-63f4174c25ae · outbound

This paper cites Majda, David W.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Majda, David W

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:36.677398Z

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Observation 5420693a-a93d-4c5a-810f-f789dfa36af1 · outbound

This paper cites Dispersive wave turbulence in one dimension.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Dispersive wave turbulence in one dimension

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:36.729786Z

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Observation 6349c443-782e-41e9-b149-68a3af04b049 · outbound

This paper cites an unresolved cited work.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:36.781038Z

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Observation b4fb7405-94f2-4b86-8159-6ea5a7a36bc7 · outbound

This paper cites Global existence and uniqueness results for weak solutions of the focusing mass-critical nonlinear Schr¨ odinger equation.Analysis & PDE, 2(1):61–81, 2009.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Global existence and uniqueness results for weak solutions of the focusing mass-critical nonlinear Schr¨ odinger equation.Analysis & PDE, 2(1):61–81, 2009

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:36.841230Z

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Observation cb9261d4-6b0f-499f-aec1-172a25390468 · outbound

This paper cites Nonlinear-damping continuation of the nonlinear Schr¨ odinger equation–a numerical study.Physica D: Nonlinear Phenomena, 241(5):519–527, 2012.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Nonlinear-damping continuation of the nonlinear Schr¨ odinger equation–a numerical study.Physica D: Nonlinear Phenomena, 241(5):519–527, 2012

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:36.912133Z

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Observation 8a63ce92-fc54-44d7-b35d-bd13b692fdd8 · outbound

This paper cites Loss of phase of collapsing beams.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Loss of phase of collapsing beams

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:36.969951Z

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Observation c9dbd417-7334-4c72-b1cc-524450133b74 · outbound

This paper cites Finite-time localized singularities as a mechanism for turbulent dissipation.Physical Review Fluids, 5(5):054607, 2020.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Finite-time localized singularities as a mechanism for turbulent dissipation.Physical Review Fluids, 5(5):054607, 2020

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Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:37.021647Z

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Observation df69c2e6-4fda-400e-bd1d-0b904e214d10 · outbound

This paper cites Two-dimensional singularity turbulence.Physica D: Nonlinear Phenomena, 443:133532, 2023.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Two-dimensional singularity turbulence.Physica D: Nonlinear Phenomena, 443:133532, 2023

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Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:37.083220Z

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Observation d9c1c146-b811-40fc-afac-8f75c9278b1a · outbound

This paper cites an unresolved cited work.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:37.147396Z

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Observation 573cd127-b271-4590-9fe3-e52cd96e1a00 · outbound

This paper cites Weak versus strong wave turbulence in the Majda–McLaughlin–Tabak model.Physical Review Fluids, 2(5):052603, 2017.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Weak versus strong wave turbulence in the Majda–McLaughlin–Tabak model.Physical Review Fluids, 2(5):052603, 2017

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Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:37.295088Z

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Observation f24080c3-cc64-43e2-a09f-fae0757028fc · outbound

This paper cites The impact of frequency bandwidth on a one-dimensional model for dispersive wave turbulence.Journal of Nonlinear Science, 33(5):81, 2023.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence The impact of frequency bandwidth on a one-dimensional model for dispersive wave turbulence.Journal of Nonlinear Science, 33(5):81, 2023

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Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:37.347511Z

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Observation ec688ca5-3a77-4f19-a9c6-0639a3fc6b12 · outbound

This paper cites Sheffield.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Sheffield

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:37.424849Z

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Observation 602c6d34-1229-41cc-9e44-9e356d6535b3 · outbound

This paper cites Weak turbulence and collapses in the Majda–McLaughlin–Tabak equation: fluxes in wavenumber and in amplitude space.Physica D: Nonlinear Phenomena, 204(3):188–203, 2005.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Weak turbulence and collapses in the Majda–McLaughlin–Tabak equation: fluxes in wavenumber and in amplitude space.Physica D: Nonlinear Phenomena, 204(3):188–203, 2005

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Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:37.494354Z

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Observation 572c7d82-846b-4597-8972-6c36fc8f58d8 · outbound

This paper cites Cascades in the Kinetic Equation for the Majda-McLaughlin-Tabak model.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Cascades in the Kinetic Equation for the Majda-McLaughlin-Tabak model

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:37.555084Z

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Observation ea9eec7e-c84c-4060-bbd7-02550166b605 · outbound

This paper cites Springer, 2015.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Springer, 2015

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:37.640132Z

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Observation 3be05799-2e9f-444e-bdf1-6dad1b9a3a7f · outbound

This paper cites On the growth of Sobolev norms of solutions of the fractional defocusing NLS equation on the circle.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence On the growth of Sobolev norms of solutions of the fractional defocusing NLS equation on the circle

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:37.708516Z

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Observation 0d60cd17-7747-4a0f-b7f5-69df809690e0 · outbound

This paper cites an unresolved cited work.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Unresolved cited work

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:37.792251Z

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Observation 6e8b6bd7-63d3-49d9-8929-3f24d4654c91 · outbound

This paper cites The Kardar–Parisi–Zhang equation and universality class.Random matrices: Theory and applications, 1(01):1130001, 2012.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence The Kardar–Parisi–Zhang equation and universality class.Random matrices: Theory and applications, 1(01):1130001, 2012

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Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:37.900717Z

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Observation 7ac797f4-c756-469a-b5ea-4a9072a3075a · outbound

This paper cites An appetizer to modern developments on the Kardar–Parisi–Zhang universality class.Physica A: Statistical Mechanics and its Applications, 504:77–105, 2018.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence An appetizer to modern developments on the Kardar–Parisi–Zhang universality class.Physica A: Statistical Mechanics and its Applications, 504:77–105, 2018

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Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:37.994216Z

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Observation 33690381-b061-434b-aa24-ac1ace076d1e · outbound

This paper cites Linear versus nonlinear dissipation for critical NLS equation.Physica D: Nonlinear Phenomena, 203(3-4):167–184, 2005.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Linear versus nonlinear dissipation for critical NLS equation.Physica D: Nonlinear Phenomena, 203(3-4):167–184, 2005

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Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:38.068971Z

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Observation e8f16fe5-88d7-4d0b-95e5-f490af5d62dc · outbound

This paper cites Dissipation at singularities of the nonlinear Schr¨ odinger equation through limits of regularisations.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Dissipation at singularities of the nonlinear Schr¨ odinger equation through limits of regularisations

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Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:38.135067Z

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Observation 7dd160d0-e2fb-495d-b96a-58cc46758f32 · outbound

This paper cites Post-blowup dynamics for the nonlinear Schr¨ odinger equation.Physica D: Nonlinear Phenomena, 456:133944, 2023.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Post-blowup dynamics for the nonlinear Schr¨ odinger equation.Physica D: Nonlinear Phenomena, 456:133944, 2023

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Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:38.188057Z

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Observation 58e3ffc7-09f1-4b18-ac5d-e41f38b80554 · outbound

This paper cites Continuations of the nonlinear Schr¨ odinger equation beyond the singularity.Nonlinearity, 24(7):2003, 2011.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Continuations of the nonlinear Schr¨ odinger equation beyond the singularity.Nonlinearity, 24(7):2003, 2011

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Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:38.248008Z

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Observation 7e710317-1904-4e32-b38b-10fb8b64fa2c · outbound

This paper cites Loss of phase and universality of stochastic interactions between laser beams.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Loss of phase and universality of stochastic interactions between laser beams

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:38.301469Z

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Observation 750612e7-9e55-41e9-881a-83fb1885bb98 · outbound

This paper cites Toward the finite-time blowup of the 3D axisymmetric Euler equations: a numerical investigation.Multiscale Modeling & Simulation, 12(4):1722–1776, 2014.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Toward the finite-time blowup of the 3D axisymmetric Euler equations: a numerical investigation.Multiscale Modeling & Simulation, 12(4):1722–1776, 2014

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Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:38.404338Z

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Observation a48a8e1f-995c-49d7-a90b-83c2ea42ff31 · outbound

This paper cites Chaotic blowup in the 3D incompressible Euler equations on a logarithmic lattice.Physical Review Letters, 121(6):064501, 2018.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Chaotic blowup in the 3D incompressible Euler equations on a logarithmic lattice.Physical Review Letters, 121(6):064501, 2018

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Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:38.510712Z

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Observation b1b92682-d941-4f60-b340-091c51afd511 · outbound

This paper cites Blow-up for the 1D cubic NLS.Communications in Mathematical Physics, 405(1):11, 2024.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Blow-up for the 1D cubic NLS.Communications in Mathematical Physics, 405(1):11, 2024

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Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:38.556204Z

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Observation 47b8617e-41f5-4bec-af4b-e9f0085c86c0 · outbound

This paper cites Numerical study of fractional nonlinear Schr¨ odinger equations.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Numerical study of fractional nonlinear Schr¨ odinger equations

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:38.629369Z

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Observation 97c6fb20-7204-45aa-a599-c8c8a50763b5 · outbound

This paper cites Tracking complex singularities of fluids on log-lattices.Nonlinearity, 37(11):115003, 2024.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Tracking complex singularities of fluids on log-lattices.Nonlinearity, 37(11):115003, 2024

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Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:38.721216Z

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Observation ab860ff1-ac98-4bc4-931a-7335b276b89d · outbound

This paper cites Frisch.Turbulence, The Legacy of A.N.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Frisch.Turbulence, The Legacy of A.N

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Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:38.785103Z

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Observation a71912c5-9183-4f0e-9234-0e8c7ad91941 · outbound

This paper cites Pope.Turbulent Flows.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Pope.Turbulent Flows

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Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:38.866871Z

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Observation e0668e50-12f2-4887-9482-d9a6f943fc26 · outbound

This paper cites The spatio-temporal statistical structure of the turbulent dissipation field and its stochastic representation as a Gaussian multiplicative chaos.Comptes Rendus.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence The spatio-temporal statistical structure of the turbulent dissipation field and its stochastic representation as a Gaussian multiplicative chaos.Comptes Rendus

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Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:38.964656Z

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Observation d3790719-e10d-40a2-bd07-93ddce419498 · outbound

This paper cites Inertial energy dissipation for weak solutions of incompressible Euler and Navier–Stokes equations.Nonlinearity, 13(1):249–255, 2000.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Inertial energy dissipation for weak solutions of incompressible Euler and Navier–Stokes equations.Nonlinearity, 13(1):249–255, 2000

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Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:39.030067Z

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Observation 7127c984-6d2e-4c68-a7bc-a881be4ae4f0 · outbound

This paper cites Constantin, W.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Constantin, W

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Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:39.088444Z

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Observation 49334ff5-d344-4c4e-81d4-637599d1ede5 · outbound

This paper cites Energy dissipation without viscosity in ideal hydrodynamics I.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Energy dissipation without viscosity in ideal hydrodynamics I

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Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:39.138927Z

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Observation e8b7d5ec-f596-40cb-94ab-fb6b0083b2c1 · outbound

This paper cites Statistical hydrodynamics.Il Nuovo Cimento (1943-1954), 6(Suppl 2):279–287, 1949.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Statistical hydrodynamics.Il Nuovo Cimento (1943-1954), 6(Suppl 2):279–287, 1949

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Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:39.195757Z

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Observation 5dfe5beb-36a2-432a-837b-90c146858d1f · outbound

This paper cites Onsager’s ideal turbulence theory.Journal of Fluid Mechanics, 988:P1, 2024.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Onsager’s ideal turbulence theory.Journal of Fluid Mechanics, 988:P1, 2024

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Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:39.253867Z

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Observation c932af81-e863-4db4-81fe-cdcc470fc756 · outbound

This paper cites an unresolved cited work.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Unresolved cited work

Reference 62

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:39.327643Z

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Observation 43eeef8d-93c1-406e-901a-a18f11f851b8 · outbound

This paper cites Buckmaster, C.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Buckmaster, C

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Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:39.415432Z

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Observation e7bb0738-66b5-47de-9d9a-8ab21803261d · outbound

This paper cites Nonuniqueness of weak solutions to the Navier–Stokes equation.Annals of Mathe- matics, 189(1):101–144, 2019.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Nonuniqueness of weak solutions to the Navier–Stokes equation.Annals of Mathe- matics, 189(1):101–144, 2019

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Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:39.489480Z

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Observation 9430f332-b460-4872-8f70-f51795a4731f · outbound

This paper cites The predictability of a flow which possesses many scales of motion.Tellus, 21(3):289–307, 1969.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence The predictability of a flow which possesses many scales of motion.Tellus, 21(3):289–307, 1969

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Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:39.578986Z

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Observation 37627bce-553d-443b-871f-f2062c91251e · outbound

This paper cites The production of uncertainty in three-dimensional Navier–Stokes turbulence.Journal of Fluid Mechanics, 977:A17, 2023.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence The production of uncertainty in three-dimensional Navier–Stokes turbulence.Journal of Fluid Mechanics, 977:A17, 2023

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Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:39.640242Z

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Observation e6afd159-60b7-443c-9929-0c60983fd055 · outbound

This paper cites The interscale behaviour of uncertainty in three-dimensional Navier– Stokes turbulence.Journal of Fluid Mechanics, 1017:A29, 2025.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence The interscale behaviour of uncertainty in three-dimensional Navier– Stokes turbulence.Journal of Fluid Mechanics, 1017:A29, 2025

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Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:39.694609Z

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Observation b31aa856-ee68-45ea-84d5-6fa287131034 · outbound

This paper cites On blow up for the energy supercritical defocusing nonlinear Schr¨ odinger equations.Inventiones Mathematicae, 227(1):247–413, 2022.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence On blow up for the energy supercritical defocusing nonlinear Schr¨ odinger equations.Inventiones Mathematicae, 227(1):247–413, 2022

Reference 68

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:39.753396Z

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Observation 69483329-a2eb-4f37-9022-0c89a1509031 · outbound

This paper cites Numerical study of probabilistic well-posedness of one dimensional fractional nonlinear wave equations.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Numerical study of probabilistic well-posedness of one dimensional fractional nonlinear wave equations

Reference 69

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:39.856923Z

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Observation bb659561-996d-4bd1-9cf1-ddbeafb942da · outbound

This paper cites Splitting methods with complex times for parabolic equations.BIT Numerical Mathematics, 49(3):487–508, 2009.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Splitting methods with complex times for parabolic equations.BIT Numerical Mathematics, 49(3):487–508, 2009

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Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:39.965192Z

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Observation f7e6b434-4e65-4daa-8b22-469512fc0c16 · outbound

This paper cites SIDUS—the solution for extreme deduplication of an operating system.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence SIDUS—the solution for extreme deduplication of an operating system

Reference 71

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:40.040086Z

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Observation 891ecdd7-432b-4e73-a943-e041a17b2dc2 · outbound

This paper cites Hence |ψ|2ψ ℓ − |ψℓ|2ψℓ →0 inL 4/3, and H¨ older’s inequality givesDℓ[ψ]→0.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Hence |ψ|2ψ ℓ − |ψℓ|2ψℓ →0 inL 4/3, and H¨ older’s inequality givesDℓ[ψ]→0

Reference 72

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:40.140769Z

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Observation 95b062dd-f82c-4d06-a84a-932666df1a6d · outbound

This paper cites In that case, the regularization fails to act as a selection principle.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence In that case, the regularization fails to act as a selection principle

Reference 73

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:34.111693Z

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Observation 9fa62694-6e8f-44be-a8a9-f40c173f38f2 · outbound

This paper cites an unresolved cited work.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Unresolved cited work

Reference 75

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:40.213734Z

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Observation 17a6e767-9d7c-4bee-8f38-8658362f5f52 · outbound

This paper cites Using conservation of mass and ln(1 +x)≤ √x, we obtain ∥Λ α 2 ψσ∥2 L2 ≤2H σ[ψ0] + 1 2√σ M[ψ0].

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Using conservation of mass and ln(1 +x)≤ √x, we obtain ∥Λ α 2 ψσ∥2 L2 ≤2H σ[ψ0] + 1 2√σ M[ψ0]

Reference 76

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:40.299812Z

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Observation 8c0cfc01-064c-42db-9315-eae997c2fb13 · outbound

This paper cites an unresolved cited work.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Unresolved cited work

Reference 77

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:40.369102Z

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Observation 5cf4374c-409d-468f-9294-b3ce21107dd3 · outbound

This paper cites Because the nonlinearity is cubic, the largest non-dealiased Fourier mode isN/4.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Because the nonlinearity is cubic, the largest non-dealiased Fourier mode isN/4

Reference 78

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:40.443178Z

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Observation f8b05215-c8b1-4a5f-bdfd-6250eb2ab3c3 · outbound

This paper cites In each setting, the solution at fixed timetis viewed as a random field, and statistics are estimated from ensembles of independent realizations.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence In each setting, the solution at fixed timetis viewed as a random field, and statistics are estimated from ensembles of independent realizations

Reference 79

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:40.513562Z

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Observation 673ca574-cb98-4225-98aa-fecb6cf2e1d3 · outbound

This paper cites an unresolved cited work.

Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence Unresolved cited work

Reference 139

Resolution: unresolved; no resolver link, observed 2026-08-01T14:27:37.226006Z

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