[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14317/jami.2016.359

A NOTE ON THE CAUCHY PROBLEM FOR HEAT EQUATIONS WITH COUPLING MOVING REACTIONS OF MIXED TYPE

LIU, BINGCHEN (College of Science, China University of Petroleum)
LI, FENGJIE (College of Science, China University of Petroleum)

Publication Information

Journal of applied mathematics & informatics / v.34, no.5_6, 2016 , pp. 359-367 More about this Journal

Abstract

This paper deals with the Cauchy problem for heat equations with coupling moving reactions of mixed type. After obtaining the infinite Fujita blow-up exponent, we classify optimally the simultaneous and non-simultaneous blow-up for two components of the solutions. Moreover, blow-up rates and set are determined. By using the analogous procedures, one can fill in the gaps for the other two systems, which are studied in the paper 'Australian and New Zealand Industrial and Applied Mathematics Journal' 48(2006)37-56.

Keywords

Cauchy problem; moving reaction; non-simultaneous blow-up; blow-up rate;

Citations & Related Records

Reference

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