Global stability of the rarefaction wave of a one-dimensional model system for compressible viscous gas

Akitaka Matsumura; Kenji Nishihara

doi:10.1007/bf02101095

Global stability of the rarefaction wave of a one-dimensional model system for compressible viscous gas

Communications in Mathematical Physics ◽

10.1007/bf02101095 ◽

1992 ◽

Vol 144 (2) ◽

pp. 325-335 ◽

Cited By ~ 115

Author(s):

Akitaka Matsumura ◽

Kenji Nishihara

Keyword(s):

Global Stability ◽

Rarefaction Wave ◽

Model System ◽

Dimensional Model ◽

Viscous Gas ◽

One Dimensional ◽

Compressible Viscous Gas

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Asymptotic stability of the rarefaction wave of a one-dimensional model system for compressible viscous gas with boundary

Japan Journal of Industrial and Applied Mathematics ◽

10.1007/bf03167367 ◽

1999 ◽

Vol 16 (3) ◽

pp. 431-441 ◽

Cited By ~ 14

Author(s):

Tao Pan ◽

Hongxia Liu ◽

Kenji Nishihara

Keyword(s):

Asymptotic Stability ◽

Rarefaction Wave ◽

Model System ◽

Dimensional Model ◽

Viscous Gas ◽

One Dimensional ◽

Compressible Viscous Gas

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Asymptotics toward the rarefaction waves of the solutions of a one-dimensional model system for compressible viscous gas

Japan Journal of Applied Mathematics ◽

10.1007/bf03167088 ◽

1986 ◽

Vol 3 (1) ◽

pp. 1-13 ◽

Cited By ~ 153

Author(s):

Akitaka Matsumura ◽

Kenji Nishihara

Keyword(s):

Model System ◽

Dimensional Model ◽

Rarefaction Waves ◽

Viscous Gas ◽

One Dimensional ◽

Compressible Viscous Gas

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On the stability of travelling wave solutions of a one-dimensional model system for compressible viscous gas

Japan Journal of Applied Mathematics ◽

10.1007/bf03167036 ◽

1985 ◽

Vol 2 (1) ◽

pp. 17-25 ◽

Cited By ~ 139

Author(s):

Akitaka Matsumura ◽

Kenji Nishihara

Keyword(s):

Travelling Wave ◽

Model System ◽

Travelling Wave Solutions ◽

Dimensional Model ◽

Viscous Gas ◽

One Dimensional ◽

Wave Solutions ◽

Compressible Viscous Gas ◽

The Stability

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Uniform boundedness of the solutions for a one-dimensional isentropic model system of compressible viscous gas

Communications in Mathematical Physics ◽

10.1007/bf02102408 ◽

1996 ◽

Vol 175 (2) ◽

pp. 259-274 ◽

Cited By ~ 29

Author(s):

Akitaka Matsumura ◽

Shigenori Yanagi

Keyword(s):

Uniform Boundedness ◽

Model System ◽

Viscous Gas ◽

One Dimensional ◽

Compressible Viscous Gas ◽

Isentropic Model

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Inflow and outflow problems in the half space for a one-dimensional isentropic model system of compressible viscous gas

Nonlinear Analysis ◽

10.1016/s0362-546x(01)00542-9 ◽

2001 ◽

Vol 47 (6) ◽

pp. 4269-4282 ◽

Cited By ~ 4

Author(s):

Akitaka Matsumura

Keyword(s):

Half Space ◽

Model System ◽

Viscous Gas ◽

One Dimensional ◽

Compressible Viscous Gas ◽

Isentropic Model

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Existence of periodic solutions for a one-dimensional isentropic model system of compressible viscous gas

Nonlinear Analysis ◽

10.1016/s0362-546x(00)00121-8 ◽

2001 ◽

Vol 46 (2) ◽

pp. 279-298 ◽

Cited By ~ 7

Author(s):

Shigenori Yanagi

Keyword(s):

Periodic Solutions ◽

Model System ◽

Viscous Gas ◽

One Dimensional ◽

Compressible Viscous Gas ◽

Existence Of Periodic Solutions ◽

Isentropic Model

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Inflow and outflow problems in the half space for a one-dimensional isentropic model system of compressible viscous gas

Methods and Applications of Analysis ◽

10.4310/maa.2001.v8.n4.a14 ◽

2001 ◽

Vol 8 (4) ◽

pp. 645-666 ◽

Cited By ~ 9

Author(s):

Akitaka Matsumura

Keyword(s):

Half Space ◽

Model System ◽

Viscous Gas ◽

One Dimensional ◽

Compressible Viscous Gas ◽

Isentropic Model

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Global existence of solutions for the one-dimensional motions of a compressible viscous gas with radiation: An “infrarelativistic model”

Nonlinear Analysis ◽

10.1016/j.na.2009.12.005 ◽

2010 ◽

Vol 72 (7-8) ◽

pp. 3258-3274 ◽

Cited By ~ 17

Author(s):

Bernard Ducomet ◽

Šárka Nečasová

Keyword(s):

Global Existence ◽

Existence Of Solutions ◽

Viscous Gas ◽

One Dimensional ◽

Global Existence Of Solutions ◽

Compressible Viscous Gas ◽

The One

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STABILITY OF EQUILIBRIUMS IN ONE-DIMENSIONAL MOTION OF COMPRESSIBLE VISCOUS GAS FORCED BY SELF-GRAVITY

Abstract and Applied Analysis ◽

10.1142/9789812702548_0010 ◽

2004 ◽

Author(s):

YORITAKA IWATA ◽

YOSHITAKA YAMAMOTO

Keyword(s):

Viscous Gas ◽

One Dimensional ◽

Compressible Viscous Gas ◽

Self Gravity

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Large-Time Behaviors of Solutions to an Inflow Problem in the Half Space for a One-Dimensional System¶of Compressible Viscous Gas

Communications in Mathematical Physics ◽

10.1007/s002200100517 ◽

2001 ◽

Vol 222 (3) ◽

pp. 449-474 ◽

Cited By ~ 66

Author(s):

Akitaka Matsumura ◽

Kenji Nishihara

Keyword(s):

Half Space ◽

Large Time ◽

Dimensional System ◽

Viscous Gas ◽

One Dimensional ◽

Compressible Viscous Gas ◽

Inflow Problem

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