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

doi:10.1016/S0252-9602(10)60021-5

数学物理学报(英文版) ›› 2010, Vol. 30 ›› Issue (1): 47-54.doi: 10.1016/S0252-9602(10)60021-5

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

刘艳红

Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, China

收稿日期:2008-08-28 出版日期:2010-01-20 发布日期:2010-01-20
基金资助:
The research was supported by the NSF of China (10625105, 10431060) and the Program for New Centary Excellent Talents in University
(NCEF-04-0745).

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

LIU Yan-Hong

Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, China

Received:2008-08-28 Online:2010-01-20 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).

摘要/Abstract

摘要：

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.

关键词: planar viscous rarefaction wave, degenerate viscosity, energy method, L¹-estimate, decay rates, boundary layer

Abstract:

Key words: planar viscous rarefaction wave, degenerate viscosity, energy method, L¹-estimate, decay rates, boundary layer

中图分类号:

35L65

刘艳红. DECAY RATES OF PLANAR VISCOUS RAREFACTION WAVE FOR MULTI-DIMENSIONAL SCALAR CONSERVATION LAW #br# WITH DEGENERATE VISCOSITY ON HALF SPACE[J]. 数学物理学报(英文版), 2010, 30(1): 47-54.

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.

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

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

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