The blow-up for weakly coupled reaction-diffusion systems

Author:
Liwen Wang

Journal:
Proc. Amer. Math. Soc. **129** (2001), 89-95

MSC (2000):
Primary 35K55, 35K57, 35K40

Published electronically:
August 17, 2000

MathSciNet review:
1784017

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

In this paper we consider a weakly coupled parabolic system with nonnegative exponents in the forcing functions. We find the conditions which result in blow-up in finite time. Also, we obtain the blow-up rate.

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Additional Information

**Liwen Wang**

Affiliation:
Department of Mathematics, University of Louisiana at Lafayette, Lafayette, Louisiana 70504

Address at time of publication:
Department of Computer Science, University of Louisiana at Lafayette, Lafayette, Louisiana 70504

Email:
lxw0340@usl.edu, lxw0340@usl.edu

DOI:
http://dx.doi.org/10.1090/S0002-9939-00-05860-3

Keywords:
Blow-up,
weakly coupled reaction-diffusion system

Received by editor(s):
March 7, 1999

Published electronically:
August 17, 2000

Communicated by:
David S. Tartakoff

Article copyright:
© Copyright 2000
American Mathematical Society