Acta mathematica scientia,Series B ›› 2014, Vol. 34 ›› Issue (4): 1271-1286.doi: 10.1016/S0252-9602(14)60084-9

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BOUNDARY LAYER AND VANISHING DIFFUSION LIMIT FOR NONLINEAR EVOLUTION EQUATIONS

 PENG Yan   

  1. School of Mathematics and Statistics, Central China Normal University, Wuhan 430079, China
  • Received:2012-07-26 Revised:2013-06-28 Online:2014-07-20 Published:2014-07-20
  • Supported by:

    Supported by the Natural Science Foundation of China (11001095 and 11001096).

Abstract:

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.

Key words: nonlinear evolution equations, vanishing diffusion limit, convergence rates, boundary layer, BL-thickness

CLC Number: 

  • 35K45
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