Liouville type theorems for 3D stationary Navier–Stokes equations in weighted mixed-norm Lebesgue spaces

Tuoc Phan

doi:10.4310/dpde.2020.v17.n3.a2

Liouville type theorems for 3D stationary Navier–Stokes equations in weighted mixed-norm Lebesgue spaces

Dynamics of Partial Differential Equations ◽

10.4310/dpde.2020.v17.n3.a2 ◽

2020 ◽

Vol 17 (3) ◽

pp. 229-243

Author(s):

Tuoc Phan

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Mixed Norm ◽

Lebesgue Spaces ◽

Liouville Type ◽

Navier Stokes Equations ◽

Liouville Type Theorems ◽

Stationary Navier Stokes Equations

Download Full-text

A remark on Liouville-type theorems for the stationary Navier–Stokes equations in three space dimensions

Journal of Functional Analysis ◽

10.1016/j.jfa.2016.06.019 ◽

2017 ◽

Vol 272 (2) ◽

pp. 804-818 ◽

Cited By ~ 19

Author(s):

Hideo Kozono ◽

Yutaka Terasawa ◽

Yuta Wakasugi

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Liouville Type ◽

Navier Stokes Equations ◽

Liouville Type Theorems ◽

Stationary Navier Stokes Equations ◽

Three Space

Download Full-text

Liouville type theorems for stationary Navier–Stokes equations

SN Partial Differential Equations and Applications ◽

10.1007/s42985-020-00056-6 ◽

2021 ◽

Vol 2 (1) ◽

Author(s):

Tai-Peng Tsai

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Liouville Type ◽

Navier Stokes Equations ◽

Liouville Type Theorems ◽

Stationary Navier Stokes Equations

Download Full-text

Sufficient conditions on Liouville type theorems for the 3D steady Navier–Stokes equations

St Petersburg Mathematical Journal ◽

10.1090/spmj/1603 ◽

2020 ◽

Vol 31 (2) ◽

pp. 387-393 ◽

Cited By ~ 1

Author(s):

G. Seregin ◽

W. Wang

Keyword(s):

Stokes Equations ◽

Sufficient Conditions ◽

Navier Stokes ◽

Liouville Type ◽

Navier Stokes Equations ◽

Liouville Type Theorems

Download Full-text

Remarks on Liouville type theorems for the 3D steady axially symmetric Navier–Stokes equations

Journal of Differential Equations ◽

10.1016/j.jde.2018.11.014 ◽

2019 ◽

Vol 266 (10) ◽

pp. 6507-6524 ◽

Cited By ~ 2

Author(s):

Wendong Wang

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Axially Symmetric ◽

Liouville Type ◽

Navier Stokes Equations ◽

Liouville Type Theorems

Download Full-text

On Liouville type theorem for the stationary Navier–Stokes equations

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-019-1549-5 ◽

2019 ◽

Vol 58 (3) ◽

Cited By ~ 2

Author(s):

Dongho Chae ◽

Jörg Wolf

Keyword(s):

Stokes Equations ◽

Type Theorem ◽

Navier Stokes ◽

Liouville Type ◽

Navier Stokes Equations ◽

Liouville Type Theorem ◽

Stationary Navier Stokes Equations

Download Full-text

A note on a Liouville type result of Gilbarg and Weinberger for the stationary Navier–Stokes equations in 2D

Journal of Mathematical Sciences ◽

10.1007/s10958-011-0578-1 ◽

2011 ◽

Vol 178 (6) ◽

pp. 695-703 ◽

Cited By ~ 4

Author(s):

M. Fuchs ◽

X. Zhong

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Type Result ◽

Liouville Type ◽

Navier Stokes Equations ◽

Stationary Navier Stokes Equations

Download Full-text

On the Liouville Type Theorems for Self-Similar Solutions to the Navier–Stokes Equations

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-017-1110-7 ◽

2017 ◽

Vol 225 (1) ◽

pp. 549-572 ◽

Cited By ~ 9

Author(s):

Dongho Chae ◽

Jörg Wolf

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Liouville Type ◽

Navier Stokes Equations ◽

Liouville Type Theorems ◽

Self Similar ◽

On some Liouville type theorems for the compressible Navier-Stokes equations

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2014.34.4719 ◽

2014 ◽

Vol 34 (11) ◽

pp. 4719-4733 ◽

Cited By ~ 3

Author(s):

Xinwei Yu ◽

Dong Li

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Liouville Type ◽

Navier Stokes Equations ◽

Liouville Type Theorems

Download Full-text

Finite energy of generalized suitable weak solutions to the Navier–Stokes equations and Liouville-type theorems in two dimensional domains

Journal of Differential Equations ◽

10.1016/j.jde.2018.03.027 ◽

2018 ◽

Vol 265 (4) ◽

pp. 1227-1247

Author(s):

Hideo Kozono ◽

Yutaka Terasawa ◽

Yuta Wakasugi

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Finite Energy ◽

Navier Stokes ◽

Two Dimensional ◽

Suitable Weak Solutions ◽

Liouville Type ◽

Navier Stokes Equations ◽

Liouville Type Theorems

Download Full-text

Liouville type theorem for stationary Navier–Stokes equations

Nonlinearity ◽

10.1088/0951-7715/29/8/2191 ◽

2016 ◽

Vol 29 (8) ◽

pp. 2191-2195 ◽

Cited By ~ 18

Author(s):

G Seregin

Keyword(s):

Stokes Equations ◽

Type Theorem ◽

Navier Stokes ◽

Liouville Type ◽

Navier Stokes Equations ◽

Liouville Type Theorem ◽

Stationary Navier Stokes Equations

Download Full-text