Global weak solutions and asymptotic behavior to 1D compressible Navier–Stokes equations with density-dependent viscosity and vacuum

Journal of Differential Equations ◽

10.1016/j.jde.2010.03.005 ◽

2010 ◽

Vol 248 (11) ◽

pp. 2768-2799 ◽

Author(s):

Zhenhua Guo ◽

Changjiang Zhu

Keyword(s):

Asymptotic Behavior ◽

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Global Weak Solutions ◽

Navier Stokes Equations ◽

Density Dependent ◽

Dependent Viscosity

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Global Weak Solutions to 1D Compressible Isentropic Navier-Stokes Equations with Density-Dependent Viscosity

Methods and Applications of Analysis ◽

10.4310/maa.2005.v12.n3.a2 ◽

2005 ◽

Vol 12 (3) ◽

pp. 239-252 ◽

Author(s):

Song Jiang ◽

Zhouping Xin ◽

Ping Zhang

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Global Weak Solutions ◽

Navier Stokes Equations ◽

Density Dependent ◽

Dependent Viscosity

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Global Weak Solutions to One-dimensional Compressible Navier-Stokes Equations with Density-dependent Viscosity Coefficients

Journal of Partial Differential Equations ◽

10.4208/jpde.v23.n3.6 ◽

2010 ◽

Vol 23 (3) ◽

pp. 290-304 ◽

Author(s):

Li Wuming and Jiu Quansen

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Global Weak Solutions ◽

Navier Stokes Equations ◽

One Dimensional ◽

Density Dependent ◽

Viscosity Coefficients ◽

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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On global weak solutions to the Cauchy problem for the Navier–Stokes equations with largeL3-initial data

Nonlinear Analysis ◽

10.1016/j.na.2016.01.018 ◽

2017 ◽

Vol 154 ◽

pp. 269-296 ◽

Author(s):

G. Seregin ◽

V. Šverák

Keyword(s):

Cauchy Problem ◽

Initial Data ◽

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Global Weak Solutions ◽

Navier Stokes Equations ◽

The Cauchy Problem

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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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Global weak solutions to the two-dimensional Navier-Stokes equations of compressible heat-conducting flows with symmetric data and forces

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2014.34.567 ◽

2013 ◽

Vol 34 (2) ◽

pp. 567-587 ◽

Author(s):

Junpin Yin ◽

Song Jiang ◽

Fei Jiang

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Heat Conducting ◽

Two Dimensional ◽

Global Weak Solutions ◽

Navier Stokes Equations

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Existence of global weak solutions of $ p $-Navier-Stokes equations

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2021051 ◽

2021 ◽

Vol 0 (0) ◽

pp. 0

Author(s):

Jian-Guo Liu ◽

Zhaoyun Zhang

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Global Weak Solutions ◽

Navier Stokes Equations

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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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Weak Solutions for the Compressible Navier-Stokes Equations with Density Dependent Viscosities

Handbook of Mathematical Analysis in Mechanics of Viscous Fluids ◽

10.1007/978-3-319-13344-7_44 ◽

2018 ◽

pp. 1547-1599 ◽

Author(s):

Didier Bresch ◽

Benoît Desjardins

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Density Dependent

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Global classical solution to the cauchy problem of the 3-D compressible Navier-Stokes equations with density-dependent viscosity

Acta Mathematica Scientia ◽

10.1016/s0252-9602(16)30078-9 ◽

2016 ◽

Vol 36 (5) ◽

pp. 1419-1432 ◽

Author(s):

Yulin YE

Keyword(s):

Cauchy Problem ◽

Classical Solution ◽

Stokes Equations ◽

Navier Stokes ◽

Global Classical Solution ◽

Navier Stokes Equations ◽

Density Dependent ◽

The Cauchy Problem ◽

Dependent Viscosity

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