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BOUNDARY LAYER AND VANISHING DIFFUSION LIMIT FOR NONLINEAR EVOLUTION EQUATIONS

BOUNDARY LAYER AND VANISHING DIFFUSION LIMIT FOR NONLINEAR EVOLUTION EQUATIONS
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摘要 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. 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.
作者 彭艳
机构地区 School of Mathematics and Statistics
出处 《Acta Mathematica Scientia》 SCIE CSCD 2014年第4期1271-1286,共16页 数学物理学报（B辑英文版）
基金 Supported by the Natural Science Foundation of China(11001095 and 11001096)
关键词 nonlinear evolution equations vanishing diffusion limit convergence rates boundary layer BL-thiekness nonlinear evolution equations vanishing diffusion limit convergence rates boundary layer BL-thiekness
分类号 O175 [理学—基础数学]
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Acta Mathematica Scientia
2014年 第4期

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