Dead-core rates for the heat equation with a spatially dependent strong absorption
Chin-Chin Wu - Department of Applied Mathematics, National Chung Hsing University, 250, Kuo Kuang Road, Taichung 402, Taiwan (email)
Abstract: This work is to study the dead-core behavior for a semilinear heat equation with a spatially dependent strong absorption term. We first give a criterion on the initial data such that the dead-core occurs. Then we prove the temporal dead-core rate is non-self-similar. This is based on the standard limiting process with the uniqueness of the self-similar solutions in a certain class.
Keywords: Dead-core, heat equation, strong absorption.
Received: September 2011; Revised: September 2012; Published: July 2013.
2013 5-year IF.937