Travelling-Wave Solutions and Interfaces for Non-Newtonian Diffusion Equations with Strong Absorption
Received:April 19, 2012  Revised:June 26, 2012
Key Word: travelling-wave solutions   interfaces   non-Newtonian diffusion equations   strong absorption.  
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant No.11071266), National Natural Science Foundation of China, Tian Yuan Special Foundation (Grant No.11226181), Scientific Research Fund of Sichuan Provincial Education Department (Grant No.13ZA0010) and the Natural Science Foundation Project of China West Normal University (Grant No.12B024).
Author NameAffiliation
Zhongping LI College of Mathematics and Information, China West Normal University, Sichuan 637002, P. R. China 
Wanjuan DU College of Mathematics and Information, China West Normal University, Sichuan 637002, P. R. China 
Chunlai MU College of Mathematics and Physics, Chongqing University, Chongqing 400044, P. R. China 
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Abstract:
      In this paper, we first find finite travelling-wave solutions, and then investigate the short time development of interfaces for non-Newtonian diffusion equations with strong absorption. We show that the initial behavior of the interface depends on the concentration of the mass of $u(x,0)$ near $x=0$. More precisely, we find a critical value of the concentration, which separates the heating front of interfaces from the cooling front of them.
Citation:
DOI:10.3770/j.issn:2095-2651.2013.04.008
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