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 |
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container_title | Acta mathematica scientia |
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creator | 彭艳 |
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 |
format | Article |
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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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