| Travelling-Wave Solutions and Interfaces for Non-Newtonian Diffusion Equations with Strong Absorption |
| Received:April 19, 2012 Revised:June 26, 2012 |
| Key Words:
travelling-wave solutions interfaces non-Newtonian diffusion equations strong absorption.
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| Fund Project: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). |
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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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