BOUNDARY LAYER AND VANISHING DIFFUSION LIMIT FOR NONLINEAR EVOLUTION EQUATIONS

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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Bibliographische Detailangaben
Veröffentlicht in:Acta mathematica scientia 2014-07, Vol.34 (4), p.1271-1286
1. Verfasser: 彭艳
Format: Artikel
Sprache:eng
Schlagworte:
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
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Beschreibung
Zusammenfassung: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.
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(14)60084-9