ASYMPTOTIC BEHAVIOR TOWARD THE RAREFACTION WAVE FOR SOLUTIONS OF RATE-TYPE VISCOELASTIC SYSTEM WITH BOUNDARY EFFECT

摘要/Abstract

摘要：

The initial boundary value problems for the system of rate-type viscoelasticity
is considered in the present paper.It is shown that if the initial data are a small perturbation
of a forward smooth rarefaction wave, then there is a global solutions to the system, which
tends to the rarefaction wave time-asymptotically

关键词: Initial boundary value problems, relaxation, global existence,asymptotic behavior

Abstract:

Key words: Initial boundary value problems, relaxation, global existence,asymptotic behavior

中图分类号:

35L45

何成, 李海梁. ASYMPTOTIC BEHAVIOR TOWARD THE RAREFACTION WAVE FOR SOLUTIONS OF RATE-TYPE VISCOELASTIC SYSTEM WITH BOUNDARY EFFECT[J]. 数学物理学报(英文版), 2000, 20(2): 245-255.

HE Cheng, LI Hai-Liang. ASYMPTOTIC BEHAVIOR TOWARD THE RAREFACTION WAVE FOR SOLUTIONS OF RATE-TYPE VISCOELASTIC SYSTEM WITH BOUNDARY EFFECT[J]. Acta mathematica scientia,Series B, 2000, 20(2): 245-255.

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[1]	王治安, 朱长江. STABILITY OF THE RAREFACTION WAVE FOR THE GENERALIZED KDV-BURGERS EQUATION[J]. 数学物理学报(英文版), 2002, 22(3): 319-328.
[2]	李海梁. GLOBAL EXISTENCE AND LARGE TIME BEHAVIOR OF SOLUTION TO REACTING FLOW MODEL WITH BOUNDARY EFFECT[J]. 数学物理学报(英文版), 2000, 20(1): 104-112.