ON THE LIOUVILLE THEOREM FOR THE STATIONARY NAVIER-STOKES EQUATIONS IN A CRITICAL SPACE

Keywords

Mathematics, Infinity, Space (punctuation), Type (biology), Navier–Stokes equations

References

• An Introduction to the Mathematical Theory of the Navier-Stokes Equations : Volume I: Linearised Steady ProblemsGiovanni P. Galdi — 1994
• Nonlinear steady problemsGiovanni P. Galdi — 1994
• Log Improvement of the Prodi-Serrin Criteria for Navier-Stokes EquationsChi Hin Chan, Alexis Vasseur — 2007
• A removable isolated singularity theorem for the stationary Navier–Stokes equationsHyunseok Kim, Hideo Kozono — 2006
• Isolated singularities for solutions of the nonlinear stationary Navier-Stokes equationsVictor L. Shapiro — 1974
• Isolated Singularity for the Stationary Navier—Stokes SystemHi Jun Choe, Hyunjoon Kim — 2000
• Isolated singularities in steady state fluid flowVictor L. Shapiro — 1976
• A new proof of partial regularity of solutions to Navier-Stokes equationsAlexis Vasseur — 2007
• Liouville theorems for the Navier–Stokes equations and applicationsGabriel S. Koch, Nikolaï Nadirashvili, G. Serëgin — 2007
• Orlicz–Morrey spaces and the Hardy–Littlewood maximal functionEiichi Nakai — 2008
• Removable Singularities of Solutions of the Navier-Stokes EquationsRamsay Dyer, D. E. Edmunds — 1970
• Nonlinear modes for the Gross–Pitaevskii equation—a demonstrative computation approachG L Alfimov, D A Zezyulin — 2007

Cited by

• Decay properties of smooth axially symmetric D-solutions to the steady Navier-Stokes equationsShangkun Weng — 2015
• Liouville theorems for the Stationary Navier Stokes equation on a hyperbolic spaceChi Hin Chan, Magdalena Czubak — 2015
• Liouville type theorem for stationary Navier–Stokes equationsG. Serëgin — 2015
• Liouville type theorems for the steady axially symmetric Navier-Stokes and magnetohydrodynamic equationsDongho Chae, Shangkun Weng — 2015
• The Liouville theorem and the L^2 decay of the FENE dumbbell model of polymeric flowsWei Luo, Zhaoyang Yin — 2016
• A Liouville Type Theorem for Steady-State Navier-Stokes EquationsG. Serëgin — 2016
• Liouville-type theorems for the Navier–Stokes equationsG. Serëgin, Timofey Shilkin — 2017
• A Liouville Problem for the Stationary Fractional Navier–Stokes–Poisson SystemYuzhao Wang, J. Xiao — 2018
• A note on optimal decay rates for the axisymmetric D-solutions to the steady Navier-Stokes equationsShangkun Weng, Chunjing Xie — 2017
• Some Liouville theorems for stationary Navier-Stokes equations in Lebesgue and Morrey spacesDiego Chamorro, Oscar Jarrín, Pierre Gilles Lemarié–Rieusset — 2018
• Notes on the Liouville type problem for the stationary Navier-Stokes equations in R^3Dongho Chae — 2018
• On Liouville type theorem for the stationary Navier–Stokes equationsDongho Chae, Jörg Wolf — 2019
• On Liouville type theorem for a generalized stationary Navier-Stokes equationsDongho Chae, Joerg Wolf — 2018
• A remark on the Liouville problem for stationary Navier-Stokes equations in Lorentz and Morrey spacesOscar Jarrín — 2019
• Liouville theorem for steady-state solutions of simplified Ericksen-Leslie systemYihang Hao, Xiangao Liu, Xiaotao Zhang — 2019
• Remarks on Liouville type theorems for the 3D steady axially symmetric Navier–Stokes equationsW. Wang — 2018
• Remarks on Liouville type theorems for steady-state Navier–Stokes equationsG. Serëgin — 2019
• Decay Properties of Axially Symmetric D-Solutions to the Steady Navier–Stokes EquationsShangkun Weng — 2018
• Note on the Liouville type problem for the stationary Navier-Stokes equations in R3Dongho Chae — 2020
• Liouville theorems for the Stokes equations with applications to large time estimatesKen Abe — 2018

Related papers

• Note on the Liouville type problem for the stationary Navier-Stokes equations in R3Dongho Chae — 2020
• Liouville type theorem for stationary Navier–Stokes equationsG. Serëgin — 2015
• Notes on the Liouville type problem for the stationary Navier-Stokes equations in R^3Dongho Chae — 2018
• Remarks on Liouville type theorems for steady-state Navier–Stokes equationsG. Serëgin — 2019
• Liouville type theorems on the steady Navier-Stokes equations in R3Zhouping Xin, Deliang Xu — 2017