Paper Citation Record · LEDGER

Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations

As of 8 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 1 inbound Pith citation observation for arXiv:2606.28575.

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52 of 52 outbound references displayed

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Outbound references

Observation 7775e6c1-a386-43a4-831a-fccb4933589b · outbound

This paper cites Globalsmoothsolutionsbytransportnoiseof3DNavier-Stokesequa- tions with small hyperviscosity.The Annals of Probability, 2024.

Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations Globalsmoothsolutionsbytransportnoiseof3DNavier-Stokesequa- tions with small hyperviscosity.The Annals of Probability, 2024

Reference 1

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Observation 71614ef5-997f-4bca-82fc-6118991c1a55 · outbound

This paper cites Onanomalousdissipationinducedbytransportnoise.Mathematische Annalen, 393(3-4):3141–3190, 2025.

Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations Onanomalousdissipationinducedbytransportnoise.Mathematische Annalen, 393(3-4):3141–3190, 2025

Reference 2

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Observation 1e371117-6735-4145-be95-36aa0c8d4269 · outbound

This paper cites Stochastic maximal regularity and local existence.Nonlinearity, 35(8):4100–4210, 2022.

Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations Stochastic maximal regularity and local existence.Nonlinearity, 35(8):4100–4210, 2022

Reference 3

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Observation 12ce0357-0807-4f54-8728-056c1b21929d · outbound

This paper cites Nonlinear parabolic stochastic evolution equations in critical spaces part II.Journal of Evolution Equations, 22(2):56, 2022.

Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations Nonlinear parabolic stochastic evolution equations in critical spaces part II.Journal of Evolution Equations, 22(2):56, 2022

Reference 4

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Observation 241530da-f6cc-42df-81c7-f4dc05efbb44 · outbound

This paper cites Stochastic maximalLp(Lq)-regularity for second ordersystemswithperiodicboundaryconditions.Annalesdel’InstitutHenriPoincaré, Probabilités et Statistiques, 60(1):413–430, 2024.

Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations Stochastic maximalLp(Lq)-regularity for second ordersystemswithperiodicboundaryconditions.Annalesdel’InstitutHenriPoincaré, Probabilités et Statistiques, 60(1):413–430, 2024

Reference 5

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Observation b88a9bc2-d77a-4be2-983f-946db0ae6324 · outbound

This paper cites Stochastic Navier-Stokes equations for turbulent flows in critical spaces.Communications in Mathematical Physics, 405(2):Paper No.

Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations Stochastic Navier-Stokes equations for turbulent flows in critical spaces.Communications in Mathematical Physics, 405(2):Paper No

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Observation 2187bf89-2740-43c9-9099-33c90050f299 · outbound

This paper cites NonlinearSPDEsandMaximalRegularity: AnEx- tendedSurvey.NonlinearDifferentialEquationsandApplicationsNoDEA,32(6):123, 2025.

Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations NonlinearSPDEsandMaximalRegularity: AnEx- tendedSurvey.NonlinearDifferentialEquationsandApplicationsNoDEA,32(6):123, 2025

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Observation 07f29e77-63e3-4768-9955-7252b484d790 · outbound

This paper cites Non-uniqueness of Leray solutions of the forced Navier-Stokes equations.Annals of Mathematics, 196(1), 2022.

Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations Non-uniqueness of Leray solutions of the forced Navier-Stokes equations.Annals of Mathematics, 196(1), 2022

Reference 8

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Observation e5f721d5-a4a6-4312-aee9-39a575bdfa9f · outbound

This paper cites Global regularity for a slightly supercritical hyperdissipative Navier–Stokes system.Analysis & PDE, 7(8):2009–2027, 2015.

Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations Global regularity for a slightly supercritical hyperdissipative Navier–Stokes system.Analysis & PDE, 7(8):2009–2027, 2015

Reference 9

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Observation eefbbc3a-0bc5-437c-b62c-704d3134b983 · outbound

This paper cites An introduction.

Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations An introduction

Reference 10

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Observation 3df01c94-4253-42a3-878e-0e86c8848111 · outbound

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Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations Unresolved cited work

Reference 11

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Observation c790838f-bfd6-42d5-805e-517aa0a86de6 · outbound

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Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations Unresolved cited work

Reference 12

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Observation a88c4abb-f2b5-49f7-a65b-341ea50bd9de · outbound

This paper cites Mean-Field Magnetohydrodynamics Models as Scaling Limits of Stochastic Induction Equations.

Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations Mean-Field Magnetohydrodynamics Models as Scaling Limits of Stochastic Induction Equations

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-07-01T15:35:48.873376Z

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Observation 7d63fcda-ce1c-4ced-9619-5605064e5576 · outbound

This paper cites Existence and uniqueness by Kraichnan noise for 2D Euler equations with unbounded vorticity.Nonlinearity, 39(5):Paper No.

Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations Existence and uniqueness by Kraichnan noise for 2D Euler equations with unbounded vorticity.Nonlinearity, 39(5):Paper No

Reference 14

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Observation 3a9d5ff4-d19e-4bcc-80df-4f4c3a6bc95d · outbound

This paper cites Regularity results for rough so- lutions of the incompressible Euler equations via interpolation methods.Nonlinearity, 33(9):4818–4836, 2020.

Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations Regularity results for rough so- lutions of the incompressible Euler equations via interpolation methods.Nonlinearity, 33(9):4818–4836, 2020

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Observation 951e676b-e628-4a3e-9118-bd945919d716 · outbound

This paper cites Data assim- ilation for a quasi-geostrophic model with circulation-preserving stochastic transport noise.Journal of Statistical Physics, 179(5):1186–1221, 2020.

Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations Data assim- ilation for a quasi-geostrophic model with circulation-preserving stochastic transport noise.Journal of Statistical Physics, 179(5):1186–1221, 2020

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Observation e28eb75f-944e-4a9d-9aa5-0b2e064a3340 · outbound

This paper cites AnimplementationofHasselmann’sparadigm for stochastic climate modelling based on stochastic Lie transport.Nonlinearity, 36(9):4862–4903, 2023.

Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations AnimplementationofHasselmann’sparadigm for stochastic climate modelling based on stochastic Lie transport.Nonlinearity, 36(9):4862–4903, 2023

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Observation 1d71a3fa-42f3-4e04-83c9-916c834c5e14 · outbound

This paper cites Second order perturbation theory of two-scale systems in fluid dynamics.Journal of the European Mathematical Society, 2024.

Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations Second order perturbation theory of two-scale systems in fluid dynamics.Journal of the European Mathematical Society, 2024

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Observation 97130e0d-ab8b-4f83-b266-483e161b8330 · outbound

This paper cites Noise Prevents Collapse of Vlasov-Poisson Point Charges.Communications on Pure and Applied Mathematics, 67(10):1700–1736, 2014.

Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations Noise Prevents Collapse of Vlasov-Poisson Point Charges.Communications on Pure and Applied Mathematics, 67(10):1700–1736, 2014

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Observation e1fb8b18-4d00-4970-a404-8a4915f82786 · outbound

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Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations Eddyviscosityofparity-invariantflow.Physical Review A, 43(10):5355–5364, 1991

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Observation 562fbbee-bb98-49e2-b6d9-4130e3cf9af4 · outbound

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Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations Noise prevents singularities in linear transport equations.Journal of Functional Analysis, 264(6):1329–1354, 2013

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Observation e9da93c2-eea6-43a9-b3f1-ec073b7ef18d · outbound

This paper cites Existence and smoothness of the Navier-Stokes equation.The millennium prize problems, 57(67):22, 2006.

Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations Existence and smoothness of the Navier-Stokes equation.The millennium prize problems, 57(67):22, 2006

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Observation 7a5626da-e0cb-48fe-afdd-883075def83e · outbound

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Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations Unresolved cited work

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Observation e8014627-695b-4e6d-bba2-19af2334919d · outbound

This paper cites Well-posedness of the transportequationbystochasticperturbation.Inventionesmathematicae,180(1):1–53, 2010.

Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations Well-posedness of the transportequationbystochasticperturbation.Inventionesmathematicae,180(1):1–53, 2010

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Observation e5b0978f-14db-48d5-84e9-0ee56208dad0 · outbound

This paper cites Highmodetransportnoiseimprovesvorticityblow-up control in 3D Navier-Stokes equations.Probability Theory and Related Fields, 180(1- 2):309–363, 2021.

Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations Highmodetransportnoiseimprovesvorticityblow-up control in 3D Navier-Stokes equations.Probability Theory and Related Fields, 180(1- 2):309–363, 2021

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Observation 579d4f8f-89b7-45b5-b108-5d0fc65c7185 · outbound

This paper cites Springer, 2023.

Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations Springer, 2023

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Observation f67c977f-55f3-4dcf-afe9-f9824b225f3c · outbound

This paper cites Fromadditivetotransportnoisein2Dfluid dynamics.StochasticsandPartialDifferentialEquations: AnalysisandComputations, 10(3):964–1004, 2022.

Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations Fromadditivetotransportnoisein2Dfluid dynamics.StochasticsandPartialDifferentialEquations: AnalysisandComputations, 10(3):964–1004, 2022

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Observation 69ffcfe8-b26c-4c01-8468-38ab4e2f93b5 · outbound

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Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations Unresolved cited work

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Observation 5b1b7fc2-09d3-4070-9812-8bf9ca91cf74 · outbound

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Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations Unresolved cited work

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This paper cites Localandglobalexistenceofsmoothsolutions forthestochasticEulerequationswithmultiplicativenoise.TheAnnalsofProbability, 42(1):80–145, 2014.

Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations Localandglobalexistenceofsmoothsolutions forthestochasticEulerequationswithmultiplicativenoise.TheAnnalsofProbability, 42(1):80–145, 2014

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Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations Lectures on singular stochastic PDEs

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Resolution: verified exact; local_arxiv, observed 2026-07-01T15:35:48.865313Z

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Observation 23b2f98b-1fe6-4f7d-8b62-d0e0f8920f67 · outbound

This paper cites The three- dimensional stochastic zakharov system.The Annals of Probability, 53(3):848–905, 2025.

Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations The three- dimensional stochastic zakharov system.The Annals of Probability, 53(3):848–905, 2025

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Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations Anomalous and total dissipation due to advection by solutions of randomly forced Navier-Stokes equations.The Annals of Applied Probability, 35(5):3119–3149, 2025

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Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations Variationalprinciplesforstochasticfluiddynamics.Proceedingsofthe Royal Society A: Mathematical, Physical and Engineering Sciences, 471(2176), 2015

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Observation 084e895a-fdd4-4e1f-9767-4dbe90607526 · outbound

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Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations Unresolved cited work

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Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations Are the incompressible 3d Navier–Stokes equations locally ill-posed in the natural energy space?Journal of Functional Analysis, 268(12):3734–3766, 2015

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Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations Delayed Blow-up in 3D Fluids via Pseudo-transport Noise

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Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations Local structure of turbulence in an incompressible viscous fluid at very high Reynolds numbers.Soviet Physics Uspekhi, 10(6):734–746, 1968

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Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations Large- scaledynamoproducedbynegativemagneticeddydiffusivities.Geophysical&Astro- physical Fluid Dynamics, 91(1-2):131–146, 1999

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Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations Dunod, Paris, 1969

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Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations Birkhäuser, 1995

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Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations An elementary approach to mixing and dissipation enhancement by transport noise

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations Fluid flow dynamics under location uncertainty.Geophysical & As- trophysical Fluid Dynamics, 108(2):119–146, 2014

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Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations Mikulevicius and B

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Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations Criticalspacesforquasilinearparabolic evolution equations and applications.Journal of Differential Equations, 264(3):2028– 2074, 2018

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Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations CambridgeUniversity Press, 2007

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Observation 18e91972-0f04-4acd-b206-13f7c91537b4 · outbound

This paper cites Global regularity for a logarithmically supercritical hyperdissipative Navier–Stokes equation.Analysis & PDE, 2(3):361–366, 2010.

Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations Global regularity for a logarithmically supercritical hyperdissipative Navier–Stokes equation.Analysis & PDE, 2(3):361–366, 2010

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Observation f2af521d-1d65-4702-816f-a34ee54051e9 · outbound

This paper cites SIAM, 1995.

Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations SIAM, 1995

Reference 48

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Observation 053e4339-df02-4165-bd25-420f74327bd2 · outbound

This paper cites Johann Ambrosius Barth Verlag, 1995.

Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations Johann Ambrosius Barth Verlag, 1995

Reference 49

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Observation be3a06c6-b987-4746-bce0-6dd72b178dd9 · outbound

This paper cites On strong solutions and explicit formulas for solutions of stochastic integral equations.Matematicheskii Sbornik (New Series), 39(3):387–399, 1981.

Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations On strong solutions and explicit formulas for solutions of stochastic integral equations.Matematicheskii Sbornik (New Series), 39(3):387–399, 1981

Reference 50

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Observation 5ff86504-f24a-44a4-a944-66f548947864 · outbound

This paper cites TheH ∞ holomorphic functional calculus for sectorial operators—a sur- vey.

Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations TheH ∞ holomorphic functional calculus for sectorial operators—a sur- vey

Reference 51

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Observation fa9b52c6-366e-4c21-adb4-3c468a26cd35 · outbound

This paper cites A transformation of the phase space of a diffusion process that removes the drift.Matematicheskii Sbornik (New Series), 22(1):129–149, 1974.

Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations A transformation of the phase space of a diffusion process that removes the drift.Matematicheskii Sbornik (New Series), 22(1):129–149, 1974

Reference 52

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Observation 2149e039-33af-4400-bc60-3dbe5312d3f8 · inbound

Absence of blow-up in the 3D Navier-Stokes equations with transport noise cites this paper.

Absence of blow-up in the 3D Navier-Stokes equations with transport noise Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations

Reference 5

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