Browsing by Author "Kawashima, S."

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Asymptotic stability of rarefaction wave for the navier-stokes equations for a compressible fluid in the half space

Kawashima, S.; Zhu, P. (2009-12-31)

This paper is concerned with the asymptotic stability towards a rarefaction wave of the solution to an outflow problem for the Navier-Stokes equations in a compressible fluid in the Eulerian coordinate in the half space. ...
Stationary waves to viscous heat-conductive gases in half-space: Existence, stability and convergence rate

Kawashima, S.; Nakamura, T.; Nishibata, S.; Zhu, P. (2010-12-31)

The main concern of this paper is to study large-time behavior of solutions to an ideal polytropic model of compressible viscous gases in one-dimensional half-space. We consider an outflow problem and obtain a convergence ...
Traveling waves for models of phase transitions of solids driven by configurational forces

Kawashima, S.; Zhu, P. (2011-12-31)

This article is concerned with the existence of traveling wave solutions, including standing waves, to some models based on configurational forces, describing respectively the diffusionless phase transitions of solid ...