BOUNDARY LAYER AND VANISHING DIFFUSION LIMIT FOR NONLINEAR EVOLUTION EQUATIONS

In this paper, we consider an initial-boundary value problem for some nonlinear evolution equations with damping and diffusion. The main purpose is to investigate the boundary layer effect and the convergence rates as the diffusion parameter α goes to zero.

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Veröffentlicht in:Acta mathematica scientia 2014-07, Vol.34 (4), p.1271-1286
1. Verfasser: 彭艳
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description In this paper, we consider an initial-boundary value problem for some nonlinear evolution equations with damping and diffusion. The main purpose is to investigate the boundary layer effect and the convergence rates as the diffusion parameter α goes to zero.
doi_str_mv 10.1016/S0252-9602(14)60084-9
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ispartof Acta mathematica scientia, 2014-07, Vol.34 (4), p.1271-1286
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1572-9087
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source Elsevier ScienceDirect Journals; Alma/SFX Local Collection
subjects 35B40
35B45
35K45
76N20
BL-thickness
Boundary layer
Convergence
convergence rates
Damping
Diffusion
Diffusion layers
Initial value problems
Mathematical analysis
Nonlinear evolution equations
vanishing diffusion limit
初始边界值问题
扩散参数
收敛速度
极限
边界层效应
非线性发展方程
title BOUNDARY LAYER AND VANISHING DIFFUSION LIMIT FOR NONLINEAR EVOLUTION EQUATIONS
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