BOUNDARY LAYER SOLUTION FOR  p-SYSTEM WITH ARTIFICIAL VISCOSITY

doi:10.1016/S0252-9602(09)60100-4

数学物理学报(英文版) ›› 2009, Vol. 29 ›› Issue (5): 1233-1240.doi: 10.1016/S0252-9602(09)60100-4

BOUNDARY LAYER SOLUTION FOR p-SYSTEM WITH ARTIFICIAL VISCOSITY

秦晓红

Department of Applied Mathematics, Nanjing University |of Science and Technology, Nanjing 210094, China

收稿日期:2007-05-18 出版日期:2009-09-20 发布日期:2009-09-20
基金资助:
Partially supported by NSFC-NSAF(10676037) and NUST

BOUNDARY LAYER SOLUTION FOR p-SYSTEM WITH ARTIFICIAL VISCOSITY

QIN Xiao-Hong

Department of Applied Mathematics, Nanjing University |of Science and Technology, Nanjing 210094, China

Received:2007-05-18 Online:2009-09-20 Published:2009-09-20
Supported by:
Partially supported by NSFC-NSAF(10676037) and NUST

摘要/Abstract

摘要：

An initial-boundary values problem in the half space (0, ∞) for p-system with artificial viscosity is investigated. It is shown that there exists a boundary layer solution. It is further proved that the boundary layer solution is nonlinear stable with arbitrarily large perturbation. The proof is given by an elementary energy method.

关键词: p system, boundary layer solution, large perturbation

Abstract:

Key words: psystem, boundary layer solution, large perturbation

中图分类号:

35L65

秦晓红. BOUNDARY LAYER SOLUTION FOR p-SYSTEM WITH ARTIFICIAL VISCOSITY[J]. 数学物理学报(英文版), 2009, 29(5): 1233-1240.

QIN Xiao-Hong. BOUNDARY LAYER SOLUTION FOR p-SYSTEM WITH ARTIFICIAL VISCOSITY[J]. Acta mathematica scientia,Series B, 2009, 29(5): 1233-1240.

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BOUNDARY LAYER SOLUTION FOR p-SYSTEM WITH ARTIFICIAL VISCOSITY

BOUNDARY LAYER SOLUTION FOR p-SYSTEM WITH ARTIFICIAL VISCOSITY

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