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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

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
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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 $ L^2$-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: http://dx.doi.org/10.1090/S0002-9947-09-04634-0
PII: S 0002-9947(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.