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

Abstract

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

CLC Number:

35L65

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

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