Existence of global strong solution for the compressible Navier-Stokes equations with degenerate viscosity coefficients in 1D

Mathematische Nachrichten ◽

10.1002/mana.201700050 ◽

2018 ◽

Vol 291 (14-15) ◽

pp. 2188-2203 ◽

Author(s):

Boris Haspot

Keyword(s):

Strong Solution ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Viscosity Coefficients ◽

Global Strong Solution ◽

Degenerate Viscosity

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Global Strong Solution to the Two-Dimensional Full Compressible Navier–Stokes Equations with Large Viscosity

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-021-00641-8 ◽

2021 ◽

Vol 24 (1) ◽

Author(s):

Hao Li ◽

Zhaoyang Shang

Keyword(s):

Strong Solution ◽

Stokes Equations ◽

Navier Stokes ◽

Two Dimensional ◽

Navier Stokes Equations ◽

Global Strong Solution

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Global strong solution to compressible Navier–Stokes equations with density dependent viscosity and temperature dependent heat conductivity

Journal of Differential Equations ◽

10.1016/j.jde.2017.01.007 ◽

2017 ◽

Vol 262 (8) ◽

pp. 4314-4335 ◽

Author(s):

Ran Duan ◽

Ai Guo ◽

Changjiang Zhu

Keyword(s):

Strong Solution ◽

Heat Conductivity ◽

Stokes Equations ◽

Navier Stokes ◽

Temperature Dependent ◽

Navier Stokes Equations ◽

Density Dependent ◽

Global Strong Solution ◽

Dependent Viscosity

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Existence of global strong solution to Cauchy problem for one-dimensional barotropic compressible Navier–Stokes equations

Applicable Analysis ◽

10.1080/00036811.2014.987133 ◽

2014 ◽

Vol 94 (12) ◽

pp. 2418-2434

Author(s):

Ruxu Lian ◽

Jian Liu

Keyword(s):

Cauchy Problem ◽

Strong Solution ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

One Dimensional ◽

Global Strong Solution

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Global strong solution and its decay properties for the Navier-Stokes equations in three dimensional domains with non-compact boundaries

Mathematische Zeitschrift ◽

10.1007/bf02572306 ◽

1994 ◽

Vol 216 (1) ◽

pp. 1-30 ◽

Author(s):

Hideo Kozono ◽

Takayoshi Ogawa

Keyword(s):

Strong Solution ◽

Stokes Equations ◽

Three Dimensional ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Decay Properties ◽

Global Strong Solution

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Global strong solution of the Navier-Stokes equations in 4 and 5 dimensional unbounded domains

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/s0294-1449(99)80027-4 ◽

1999 ◽

Vol 16 (5) ◽

pp. 535-561 ◽

Author(s):

Hideo Kozono ◽

Hermann Sohr

Keyword(s):

Strong Solution ◽

Stokes Equations ◽

Unbounded Domains ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Global Strong Solution

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Spherically symmetric Navier-Stokes equations with degenerate viscosity coefficients and vacuum

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2010.9.459 ◽

2010 ◽

Vol 9 (2) ◽

pp. 459-481 ◽

Author(s):

Wenjun Wang ◽

◽

Lei Yao ◽

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Spherically Symmetric ◽

Navier Stokes Equations ◽

Viscosity Coefficients ◽

Degenerate Viscosity

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Large-time behavior of the spherically symmetric compressible Navier–Stokes equations with degenerate viscosity coefficients

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-019-1101-7 ◽

2019 ◽

Vol 70 (2) ◽

Author(s):

Guangyi Hong ◽

Huanyao Wen ◽

Changjiang Zhu

Keyword(s):

Stokes Equations ◽

Large Time Behavior ◽

Navier Stokes ◽

Spherically Symmetric ◽

Time Behavior ◽

Navier Stokes Equations ◽

Viscosity Coefficients ◽

Degenerate Viscosity

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Global strong solution of 3D inhomogeneous Navier–Stokes equations with density-dependent viscosity

Journal of Differential Equations ◽

10.1016/j.jde.2015.03.008 ◽

2015 ◽

Vol 259 (4) ◽

pp. 1606-1627 ◽

Author(s):

Xiangdi Huang ◽

Yun Wang

Keyword(s):

Strong Solution ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Density Dependent ◽

Global Strong Solution ◽

Dependent Viscosity

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New effective pressure and existence of global strong solution for compressible Navier–Stokes equations with general viscosity coefficient in one dimension

Nonlinearity ◽

10.1088/1361-6544/ab7102 ◽

2020 ◽

Vol 33 (5) ◽

pp. 2077-2105

Author(s):

Cosmin Burtea ◽

Boris Haspot

Keyword(s):

Strong Solution ◽

Stokes Equations ◽

Viscosity Coefficient ◽

One Dimension ◽

Navier Stokes ◽

Effective Pressure ◽

Navier Stokes Equations ◽

Global Strong Solution

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Local and global strong solution to the stochastic 3-D incompressible anisotropic Navier-Stokes equations

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2018209 ◽

2018 ◽

Vol 38 (9) ◽

pp. 4745-4765

Author(s):

Lihuai Du ◽

◽

Ting Zhang

Keyword(s):

Strong Solution ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Global Strong Solution

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