Global well-posedness of the 2D incompressible Navier–Stokes equations with density-dependent viscosity coefficient

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2020.103156 ◽

2020 ◽

Vol 56 ◽

pp. 103156

Author(s):

Yang Liu

Keyword(s):

Stokes Equations ◽

Viscosity Coefficient ◽

Navier Stokes ◽

Well Posedness ◽

Navier Stokes Equations ◽

Density Dependent ◽

Dependent Viscosity

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Global well-posedness for the incompressible Navier–Stokes equations with density-dependent viscosity coefficient

Journal of Differential Equations ◽

10.1016/j.jde.2015.03.011 ◽

2015 ◽

Vol 259 (5) ◽

pp. 1722-1742 ◽

Author(s):

Jianwen Zhang

Keyword(s):

Stokes Equations ◽

Viscosity Coefficient ◽

Navier Stokes ◽

Well Posedness ◽

Navier Stokes Equations ◽

Density Dependent ◽

Dependent Viscosity

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Remark on stability of rarefaction waves to the one-dimensional compressible Navier-Stokes equations with density-dependent viscosity coefficient

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.2781 ◽

2013 ◽

Vol 37 (1) ◽

pp. 32-47

Author(s):

Changsheng Dou ◽

Quansen Jiu

Keyword(s):

Stokes Equations ◽

Viscosity Coefficient ◽

Navier Stokes ◽

Rarefaction Waves ◽

Navier Stokes Equations ◽

One Dimensional ◽

Density Dependent ◽

The One ◽

Dependent Viscosity

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Global classical solution to the 3D isentropic compressible Navier-Stokes equations with general initial data and a density-dependent viscosity coefficient

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.3137 ◽

2014 ◽

Vol 38 (6) ◽

pp. 1158-1177 ◽

Author(s):

Peixin Zhang

Keyword(s):

Initial Data ◽

Classical Solution ◽

Stokes Equations ◽

Viscosity Coefficient ◽

Navier Stokes ◽

Global Classical Solution ◽

Navier Stokes Equations ◽

Density Dependent ◽

General Initial Data ◽

Dependent Viscosity

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Global Well-Posedness and Exponential Stability of 3D Navier–Stokes Equations with Density-Dependent Viscosity and Vacuum in Unbounded Domains

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-020-01604-5 ◽

2021 ◽

Author(s):

Cheng He ◽

Jing Li ◽

Boqiang Lü

Keyword(s):

Exponential Stability ◽

Stokes Equations ◽

Unbounded Domains ◽

Navier Stokes ◽

Well Posedness ◽

Navier Stokes Equations ◽

Density Dependent ◽

Dependent Viscosity

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Global classical solutions for 3D compressible Navier–Stokes equations with vacuum and a density-dependent viscosity coefficient

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2012.12.056 ◽

2013 ◽

Vol 401 (2) ◽

pp. 795-810 ◽

Author(s):

Shengquan Liu ◽

Jianwen Zhang ◽

Junning Zhao

Keyword(s):

Stokes Equations ◽

Viscosity Coefficient ◽

Navier Stokes ◽

Classical Solutions ◽

Navier Stokes Equations ◽

Density Dependent ◽

Global Classical Solutions ◽

Dependent Viscosity

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Global solutions of compressible barotropic Navier–Stokes equations with a density-dependent viscosity coefficient

Journal of Mathematical Physics ◽

10.1063/1.3578930 ◽

2011 ◽

Vol 52 (4) ◽

pp. 043510 ◽

Author(s):

Ting Zhang

Keyword(s):

Stokes Equations ◽

Global Solutions ◽

Viscosity Coefficient ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Density Dependent ◽

Dependent Viscosity

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Local well-posedness to the cauchy problem of the 3-D compressible navier-stokes equations with density-dependent viscosity

Acta Mathematica Scientia ◽

10.1016/s0252-9602(14)60055-2 ◽

2014 ◽

Vol 34 (3) ◽

pp. 851-871 ◽

Author(s):

Yulin YE ◽

Changsheng DOU ◽

Quansen JIU

Keyword(s):

Cauchy Problem ◽

Stokes Equations ◽

Navier Stokes ◽

Well Posedness ◽

Navier Stokes Equations ◽

Density Dependent ◽

The Cauchy Problem ◽

Dependent Viscosity

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Stability of Rarefaction Waves to the 1D Compressible Navier–Stokes Equations with Density-Dependent Viscosity

Communications in Partial Differential Equations ◽

10.1080/03605302.2010.516785 ◽

2011 ◽

Vol 36 (4) ◽

pp. 602-634 ◽

Author(s):

Quansen Jiu ◽

Yi Wang ◽

Zhouping Xin

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Rarefaction Waves ◽

Navier Stokes Equations ◽

Density Dependent ◽

Dependent Viscosity

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One dimensional compressible Navier-Stokes equations with density-dependent viscosity and free boundaries

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2008.7.373 ◽

2008 ◽

Vol 7 (2) ◽

pp. 373-381 ◽

Author(s):

Xulong Qin ◽

◽

Zheng-An Yao ◽

Hongxing Zhao ◽

◽

...

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Free Boundaries ◽

Navier Stokes Equations ◽

One Dimensional ◽

Density Dependent ◽

Dependent Viscosity

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Asymptotic Behavior of Compressible Navier-Stokes Equations with Density-Dependent Viscosity and Vacuum

Communications in Mathematical Physics ◽

10.1007/s00220-009-0914-1 ◽

2009 ◽

Vol 293 (1) ◽

pp. 279-299 ◽

Author(s):

Changjiang Zhu

Keyword(s):

Asymptotic Behavior ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Density Dependent ◽

Dependent Viscosity

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