Liouville-type theorems for the Navier–Stokes equations

Russian Mathematical Surveys ◽

10.1070/rm9822 ◽

2018 ◽

Vol 73 (4) ◽

pp. 661-724 ◽

Author(s):

G. A. Seregin ◽

T. N. Shilkin

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Liouville Type ◽

Navier Stokes Equations ◽

Liouville Type Theorems

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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 ◽

Author(s):

G. Seregin ◽

W. Wang

Keyword(s):

Stokes Equations ◽

Sufficient Conditions ◽

Navier Stokes ◽

Liouville Type ◽

Navier Stokes Equations ◽

Liouville Type Theorems

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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 ◽

Author(s):

Wendong Wang

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Axially Symmetric ◽

Liouville Type ◽

Navier Stokes Equations ◽

Liouville Type Theorems

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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 ◽

Author(s):

Dongho Chae ◽

Jörg Wolf

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Liouville Type ◽

Navier Stokes Equations ◽

Liouville Type Theorems ◽

Self Similar ◽

Similar Solutions

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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 ◽

Author(s):

Xinwei Yu ◽

Dong Li

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Liouville Type ◽

Navier Stokes Equations ◽

Liouville Type Theorems

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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 ◽

Lebesgue Spaces ◽

Liouville Type ◽

Navier Stokes Equations ◽

Liouville Type Theorems ◽

Stationary Navier Stokes Equations

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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

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On Liouville type theorems for the steady Navier–Stokes equations in R3

Journal of Differential Equations ◽

10.1016/j.jde.2016.08.014 ◽

2016 ◽

Vol 261 (10) ◽

pp. 5541-5560 ◽

Author(s):

Dongho Chae ◽

Jörg Wolf

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Liouville Type ◽

Navier Stokes Equations ◽

Liouville Type Theorems

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Remarks on Liouville type theorems for steady-state Navier–Stokes equations

St Petersburg Mathematical Journal ◽

10.1090/spmj/1544 ◽

2019 ◽

Vol 30 (2) ◽

pp. 321-328 ◽

Author(s):

G. Seregin

Keyword(s):

Steady State ◽

Stokes Equations ◽

Navier Stokes ◽

Liouville Type ◽

Navier Stokes Equations ◽

Liouville Type Theorems

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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 ◽

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 ◽

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Notes on Liouville type theorems for the stationary compressible Navier–Stokes equations

Applied Mathematics Letters ◽

10.1016/j.aml.2020.106908 ◽

2021 ◽

Vol 114 ◽

pp. 106908

Author(s):

Zhouyu Li ◽

Pengcheng Niu

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Liouville Type ◽

Navier Stokes Equations ◽

Liouville Type Theorems

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