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Decay rates of strong planar rarefaction waves to scalar conservation laws with degenerate viscosity in several space dimensions
Author(s):
Jing
Chen;
Changjiang
Zhu
Journal:
Trans. Amer. Math. Soc.
362
(2010),
1797-1830.
MSC (2000):
Primary 35L65, 35K65, 35B40, 35B45
Posted:
October 26, 2009
MathSciNet review:
2574878
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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:
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
Posted:
October 26, 2009
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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