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 ◽

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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 ◽

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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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 ◽

Author(s):

Bernard Ducomet ◽

Šárka Nečasová

Keyword(s):

Global Existence ◽

Existence Of Solutions ◽

Viscous Gas ◽

One Dimensional ◽

Global Existence Of Solutions ◽

Compressible Viscous Gas ◽

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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 ◽

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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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 ◽

Author(s):

Akitaka Matsumura ◽

Kenji Nishihara

Keyword(s):

Dimensional System ◽

Viscous Gas ◽

One Dimensional ◽

Compressible Viscous Gas ◽

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On the One-dimensional Free Boundary Problem for the Heat-conductive Compressible Viscous Gas

North-Holland Mathematics Studies - Recent Topics in Nonlinear PDE IV ◽

10.1016/s0304-0208(08)70507-3 ◽

1989 ◽

pp. 83-99 ◽

Author(s):

Takeyuki Nagasawa

Keyword(s):

Free Boundary ◽

Boundary Problem ◽

Free Boundary Problem ◽

Viscous Gas ◽

One Dimensional ◽

Compressible Viscous Gas ◽

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Asymptotic Behavior of a One-Dimensional Compressible Viscous Gas with Free Boundary

SIAM Journal on Mathematical Analysis ◽

10.1137/s0036141001385745 ◽

2002 ◽

Vol 34 (2) ◽

pp. 273-291 ◽

Author(s):

Tao Pan ◽

Hongxia Liu ◽

Kenji Nishihara

Keyword(s):

Asymptotic Behavior ◽

Free Boundary ◽

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 ◽

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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Asymptotic stability of the solutions to a full one-dimensional system of heat-conductive, reactive, compressible viscous gas

Japan Journal of Industrial and Applied Mathematics ◽

10.1007/bf03167320 ◽

1998 ◽

Vol 15 (3) ◽

pp. 423-442 ◽

Author(s):

Shigenori Yanagi

Keyword(s):

Asymptotic Stability ◽

Dimensional System ◽

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 ◽

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 ◽

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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 ◽

Author(s):

Akitaka Matsumura

Keyword(s):

Model System ◽

Viscous Gas ◽

One Dimensional ◽

Compressible Viscous Gas ◽

Isentropic Model

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