Decay rates of strong planar rarefaction waves to scalar conservation laws with degenerate viscosity in several space dimensions

Authors:
Jing Chen and Changjiang Zhu

Journal:
Trans. Amer. Math. Soc. **362** (2010), 1797-1830

MSC (2000):
Primary 35L65, 35K65, 35B40, 35B45

Published electronically:
October 26, 2009

MathSciNet review:
2574878

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: This paper is concerned with the decay rates of the solution to the strong planar rarefaction waves for scalar conservation laws with degenerate viscosity in several space dimensions. The analysis is based on the -energy method and the decay property of rarefaction waves.

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Additional Information

**Jing Chen**

Affiliation:
Department of Mathematics, Laboratory of Nonlinear Analysis, Central China Normal University, Wuhan 430079, People’s Republic of China

**Changjiang Zhu**

Affiliation:
Department of Mathematics, Laboratory of Nonlinear Analysis, Central China Normal University, Wuhan 430079, People’s Republic of China

Email:
cjzhu@mail.ccnu.edu.cn

DOI:
https://doi.org/10.1090/S0002-9947-09-04634-0

Keywords:
Strong planar rarefaction waves,
energy method,
{\it a priori} estimates,
decay rates.

Received by editor(s):
July 28, 2005

Received by editor(s) in revised form:
August 1, 2007

Published electronically:
October 26, 2009

Article copyright:
© Copyright 2009
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.