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

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

刘艳红   

  1. 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   

  1. 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:

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:

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.

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

中图分类号: 

  • 35L65