Time decay of solutions to the compressible Euler equations with damping

Qing Chen; Zhong Tan

doi:10.3934/krm.2014.7.605

Article Contents

2014, Volume 7, Issue 4: 605-619. Doi: 10.3934/krm.2014.7.605

This issue Previous Article Next Article On the Geometrical Gyro-Kinetic theory

Time decay of solutions to the compressible Euler equations with damping

Qing Chen^1, and
Zhong Tan^2,

1.
School of Applied Mathematics, Xiamen University of Technology, Xiamen, Fujian 361024
2.
School of Mathematical Sciences, Xiamen University, Xiamen, Fujian 361005

Received: December 2013

Revised: July 2014

Published: December 2014

Abstract / Introduction Related Papers Cited by

Abstract

We consider the time decay rates of the solution to the Cauchy problem for the compressible Euler equations with damping. We prove the optimal decay rates of the solution as well as its higher-order spatial derivatives. The damping effect on the time decay estimates of the solution is studied in details.

Keywords:

Mathematics Subject Classification: Primary: 35Q31, 76N10; Secondary: 35P20.

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References

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