Nonlinear stability of large amplitude viscous shock wave for general viscous gas

Journal of Differential Equations ◽

10.1016/j.jde.2020.01.004 ◽

2020 ◽

Vol 269 (2) ◽

pp. 1226-1242

Author(s):

Lin He ◽

Feimin Huang

Keyword(s):

Nonlinear Stability ◽

Large Amplitude ◽

Viscous Gas ◽

Viscous Shock Wave

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Viscous Shock Wave to an Inflow Problem for Compressible Viscous Gas with Large Density Oscillations

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-019-0801-2 ◽

2019 ◽

Vol 35 (1) ◽

pp. 129-157

Author(s):

Dong-fen Bian ◽

Li-li Fan ◽

Lin He ◽

Hui-jiang Zhao

Keyword(s):

Viscous Gas ◽

Large Density ◽

Compressible Viscous Gas ◽

Viscous Shock Wave ◽

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Viscous Shock Wave and Boundary Layer Solution to an Inflow Problem for Compressible Viscous Gas

Communications in Mathematical Physics ◽

10.1007/s00220-003-0874-9 ◽

2003 ◽

Vol 239 (1-2) ◽

pp. 261-285 ◽

Author(s):

Feimin Huang ◽

Akitaka Matsumura ◽

Xiaoding Shi

Keyword(s):

Boundary Layer ◽

Viscous Gas ◽

Boundary Layer Solution ◽

Compressible Viscous Gas ◽

Viscous Shock Wave ◽

Inflow Problem ◽

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Asymptotic Stability of Viscous Shock Wave for a Onedimensional Isentropic Model of Viscous Gas with Density Dependent Viscosity

Methods and Applications of Analysis ◽

10.4310/maa.2010.v17.n3.a3 ◽

2010 ◽

Vol 17 (3) ◽

pp. 279-290 ◽

Author(s):

Akitaka Matsumura ◽

Yang Wang

Keyword(s):

Asymptotic Stability ◽

Viscous Gas ◽

Density Dependent ◽

Viscous Shock Wave ◽

Dependent Viscosity ◽

Isentropic Model

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Nonlinear stability of large perturbation around viscous shock wave for 2-D scalar viscous conservation law

Indiana University Mathematics Journal ◽

10.1512/iumj.2016.65.5850 ◽

2016 ◽

Vol 65 (4) ◽

pp. 1137-1182 ◽

Author(s):

Renkun Shi ◽

Weike Wang

Keyword(s):

Nonlinear Stability ◽

Conservation Law ◽

Viscous Shock Wave ◽

Large Perturbation ◽

Viscous Conservation Law

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Nonlinear stability of viscous shock wave to one-dimensional compressible isentropic Navier–Stokes equations with density dependent viscous coefficient

Communications in Mathematical Sciences ◽

10.4310/cms.2016.v14.n8.a5 ◽

2016 ◽

Vol 14 (8) ◽

pp. 2215-2228 ◽

Author(s):

Alexis F. Vasseur ◽

Lei Yao

Keyword(s):

Nonlinear Stability ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

One Dimensional ◽

Density Dependent ◽

Viscous Shock Wave

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Existence of viscous shock wave of a generalized hyperbolic-parabolic system arising from chemotaxis

2013 25th Chinese Control and Decision Conference (CCDC) ◽

10.1109/ccdc.2013.6561142 ◽

2013 ◽

Author(s):

Yingjie Zhu ◽

Fuzhong Cong ◽

Haiyin Gao ◽

Yali Kang

Keyword(s):

Parabolic System ◽

Viscous Shock Wave

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Nonlinear Stability of Large Amplitude Traveling Waves to Hyperbolic-parabolic System Modeling Chemotaxis

Series in Contemporary Applied Mathematics - Hyperbolic Problems ◽

10.1142/9789814417099_0052 ◽

2012 ◽

pp. 519-526

Author(s):

Tong Li ◽

Zhi-An Wang

Keyword(s):

Nonlinear Stability ◽

Parabolic System ◽

Traveling Waves ◽

Large Amplitude ◽

System Modeling

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A Study of Large-Amplitude Shock Wave Phenomena in Air-Bubble/Water Mixtures

The Proceedings of Conference of Hokkaido Branch ◽

10.1299/jsmehokkaido.2002.42.50 ◽

2002 ◽

Vol 2002.42 (0) ◽

pp. 50-51

Author(s):

Kiyonobu OHTANI ◽

Hiromu SUGIYAMA ◽

Kazuhide MIZOBATA ◽

Hisatoshi OGASAWARA

Keyword(s):

Large Amplitude ◽

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Asymptotic stability of the viscous shock wave for the one-dimensional compressible Navier–Stokes equations with density dependent viscous coefficient on the half space

Archiv der Mathematik ◽

10.1007/s00013-019-01358-x ◽

2019 ◽

Vol 113 (4) ◽

pp. 423-441

Author(s):

Jinjing Liu ◽

Meiying Cui

Keyword(s):

Asymptotic Stability ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

One Dimensional ◽

Density Dependent ◽

Viscous Shock Wave ◽

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Nonlinear Stability of Large Amplitude Viscous Shock Waves to the One-dimensional System of Viscoelasticity

SIAM Journal on Mathematical Analysis ◽

10.1137/20m1319139 ◽

2021 ◽

Vol 53 (2) ◽

pp. 1818-1830

Author(s):

Jinjing Liu ◽

Zhenhua Guo

Keyword(s):

Shock Waves ◽

Nonlinear Stability ◽

Large Amplitude ◽

Dimensional System ◽

One Dimensional ◽

Viscous Shock Waves ◽

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