Large-time behavior of solutions forthe system of compressible adiabatic flow through porous media withnonlinear damping

Shifeng Geng; Lina Zhang

doi:10.3934/cpaa.2014.13.2211

Article Contents

2014, Volume 13, Issue 6: 2211-2228. Doi: 10.3934/cpaa.2014.13.2211

This issue Previous Article Strichartz estimates for Schrödinger equations with variable coefficients and unbounded potentials II. Superquadratic potentials Next Article Approximation of the trajectory attractor for a 3D model of incompressible two-phase-flows

Large-time behavior of solutions for the system of compressible adiabatic flow through porous media with nonlinear damping

Shifeng Geng^1, and
Lina Zhang^2,

1.
School of Mathematics and Computational Science, Xiangtan University, Hunan 411105
2.
School of Mathematical Science and Computing Technology, Central South University, Changsha 410075

Received: April 2013

Revised: December 2013

Published online: July 2014

Abstract / Introduction Related Papers Cited by

Abstract

This paper is concerned with large-time behavior of solutions for the system of compressible adiabatic flow through porous media with nonlinear damping. For the nonlinear damping case, i.e. $\beta \neq 0,$ results for the linear damping case are extended to the case of nonlinear damping. Compared with the results obtained by Marcati and Pan, better decay estimates are obtained in this paper.

Keywords:

Large-time behavior,
system of compressible adiabatic flow through porous media,
nonlinear damping,
convergence rates.

Mathematics Subject Classification: 35L45, 35L60, 35L65, 76R50.

Citation:

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References

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