On the global stability of smooth solutions of the Navier–Stokes equations

Applied Mathematics Letters ◽

10.1016/j.aml.2020.106970 ◽

2021 ◽

Vol 115 ◽

pp. 106970

Author(s):

Livio Pizzocchero

Keyword(s):

Global Stability ◽

Stokes Equations ◽

Navier Stokes ◽

Smooth Solutions ◽

Navier Stokes Equations

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Blow-up and Global Smooth Solutions for Incompressible Three-Dimensional Navier–Stokes Equations

Chinese Physics Letters ◽

10.1088/0256-307x/25/6/052 ◽

2008 ◽

Vol 25 (6) ◽

pp. 2115-2117 ◽

Cited By ~ 3

Author(s):

Guo Bo-Ling ◽

Yang Gan-Shan ◽

Pu Xue-Ke

Keyword(s):

Blow Up ◽

Stokes Equations ◽

Three Dimensional ◽

Navier Stokes ◽

Smooth Solutions ◽

Navier Stokes Equations ◽

Global Smooth Solutions

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Viscous limits of the compressible Navier–Stokes equations to piecewise smooth solutions with two interacting out-going shocks

Journal of Mathematical Physics ◽

10.1063/5.0001545 ◽

2020 ◽

Vol 61 (2) ◽

pp. 021506

Author(s):

Shixiang Ma

Keyword(s):

Stokes Equations ◽

Piecewise Smooth ◽

Navier Stokes ◽

Smooth Solutions ◽

Navier Stokes Equations

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On L 1 -summability and asymptotic profiles for smooth solutions to Navier?Stokes equations in a 3D exterior domain

Mathematische Zeitschrift ◽

10.1007/s00209-003-0551-x ◽

2003 ◽

Vol 245 (2) ◽

pp. 387-417 ◽

Cited By ~ 28

Author(s):

Cheng He ◽

Tetsuro Miyakawa

Keyword(s):

Exterior Domain ◽

Stokes Equations ◽

Navier Stokes ◽

Smooth Solutions ◽

Navier Stokes Equations

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On Smooth and Piecewise Smooth Solutions of Navier-Stokes Equations

Open Journal of Mathematical Modeling ◽

10.12966/ojmmo.09.02.2013 ◽

2013 ◽

Vol 1 (5) ◽

pp. 153

Author(s):

Olteanu Octav

Keyword(s):

Stokes Equations ◽

Piecewise Smooth ◽

Navier Stokes ◽

Smooth Solutions ◽

Navier Stokes Equations

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Blow-up of smooth solutions to compressible quantum Navier-Stokes equations

Scientia Sinica Mathematica ◽

10.1360/n012018-00134 ◽

2019 ◽

Vol 50 (6) ◽

pp. 873

Author(s):

Dong Jianwei ◽

Ju Qiangchang

Keyword(s):

Blow Up ◽

Stokes Equations ◽

Navier Stokes ◽

Smooth Solutions ◽

Navier Stokes Equations

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A class of sharp inequalities for periodic functions. Addendum to the paper “Smooth solutions of the Navier-Stokes equations” by S.I. Pokhozhaev

Sbornik Mathematics ◽

10.1070/sm2014v205n02abeh004372 ◽

2014 ◽

Vol 205 (2) ◽

pp. 220-223 ◽

Cited By ~ 1

Author(s):

A A Ilyin

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Smooth Solutions ◽

Periodic Functions ◽

Navier Stokes Equations

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Blow-up of smooth solutions to the Navier-Stokes equations for compressible isothermal fluids

Communications in Mathematical Sciences ◽

10.4310/cms.2013.v11.n2.a11 ◽

2013 ◽

Vol 11 (2) ◽

pp. 541-546 ◽

Cited By ~ 4

Author(s):

Dapeng Du ◽

Jingyu Li ◽

Kaijun Zhang

Keyword(s):

Blow Up ◽

Stokes Equations ◽

Navier Stokes ◽

Smooth Solutions ◽

Navier Stokes Equations

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Viscous Limits to Piecewise Smooth Solutions for the Navier-Stokes Equations of One-dimensional Compressible Viscous Heat-conducting Fluids

Methods and Applications of Analysis ◽

10.4310/maa.2009.v16.n1.a1 ◽

2009 ◽

Vol 16 (1) ◽

pp. 1-32

Author(s):

Shixiang Ma

Keyword(s):

Stokes Equations ◽

Piecewise Smooth ◽

Navier Stokes ◽

Heat Conducting ◽

Smooth Solutions ◽

Navier Stokes Equations ◽

One Dimensional ◽

Viscous Heat ◽

Heat Conducting Fluids ◽

Conducting Fluids

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Global Stability of Large Solutions to the 3D Compressible Navier–Stokes Equations

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-019-01410-8 ◽

2019 ◽

Vol 234 (3) ◽

pp. 1167-1222 ◽

Cited By ~ 2

Author(s):

Lingbing He ◽

Jingchi Huang ◽

Chao Wang

Keyword(s):

Global Stability ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Large Solutions

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On globally large smooth solutions of full compressible Navier–Stokes equations with moving boundary and temperature-dependent heat-conductivity

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2021.103430 ◽

2022 ◽

Vol 64 ◽

pp. 103430

Author(s):

Yaobin Ou

Keyword(s):

Heat Conductivity ◽

Moving Boundary ◽

Stokes Equations ◽

Navier Stokes ◽

Smooth Solutions ◽

Temperature Dependent ◽

Navier Stokes Equations

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