Articles

DECAY RATES OF PLANAR VISCOUS RAREFACTION WAVE FOR MULTI-DIMENSIONAL SCALAR CONSERVATION LAW #br# WITH DEGENERATE VISCOSITY ON HALF SPACE

  • LIU Yan-Hong
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  • Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, China

Received date: 2008-08-28

  Online published: 2010-01-20

Supported by

The research was supported by the NSF of China (10625105, 10431060) and the Program for New Centary Excellent Talents in University
(NCEF-04-0745).

Abstract

We investigate the decay rates of the planar viscous rarefaction wave of the initial-boundary value problem to scalar conservation
law with degenerate viscosity in several dimensions on the half-line space, where the corresponding one-dimensional problem
admits the rarefaction wave as an asymptotic state. The analysis is based on the standard L2-energy method and L1-estimate.

Cite this article

LIU Yan-Hong . DECAY RATES OF PLANAR VISCOUS RAREFACTION WAVE FOR MULTI-DIMENSIONAL SCALAR CONSERVATION LAW #br# WITH DEGENERATE VISCOSITY ON HALF SPACE[J]. Acta mathematica scientia, Series B, 2010 , 30(1) : 47 -54 . DOI: 10.1016/S0252-9602(10)60021-5

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