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Boundary Layer of Zero Diffusion Limit for Nonlinear Evolution Equations with Damping and Diffusions
PENG Hongyun,RUAN Lizhi,ZHU Changjiang *
The Hubei Key Laboratory of Mathematical Physics,School of Mathematics and Statistics,Central China Normal University, WuHan 430079
*Correspondence author
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Funding: the PhD specialized grant of the Ministry of Education of China （No.20100144110001）
Opened online:14 December 2012
Accepted by: none
Citation: PENG Hongyun,RUAN Lizhi,ZHU Changjiang.Boundary Layer of Zero Diffusion Limit for Nonlinear Evolution Equations with Damping and Diffusions[OL]. [14 December 2012] http://en.paper.edu.cn/en_releasepaper/content/4499574
 
 
In this paper, we consider aninitial-boundary value problem for some nonlinear evolutionequations with damping and diffusions on the strip. Our main purposeis to investigate the boundary layer effect and the convergencerates as the diffusion parameter β goes to zero. It is alsoshown that the boundary layer thickness is of the order O(βr) with 0<r<3/4. Incontrast with [L.Z. Ruan and C.J. Zhu, Discrete Contin. Dyn.Syst. Ser.A}, 32(2012), 331-352], the important point in this paperis that the restriction on the linear relation between theparameters v and β is removed. In addition, theconvergence rates in W 1,∞ norm are also improved.
Keywords:Nonlinear evolution equations; zero diffusion limit; boundary layer; BL-thickness
 
 
 

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