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Proceedings of the American Mathematical Society
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The blow-up for weakly coupled reaction-diffusion systems

Author(s): Liwen Wang
Journal: Proc. Amer. Math. Soc. 129 (2001), 89-95.
MSC (2000): Primary 35K55, 35K57, 35K40
Posted: August 17, 2000
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Abstract | References | Similar articles | Additional information

Abstract:

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: 10.1090/S0002-9939-00-05860-3
PII: S 0002-9939(00)05860-3
Keywords: Blow-up, weakly coupled reaction-diffusion system
Received by editor(s): March 7, 1999
Posted: August 17, 2000
Communicated by: David S. Tartakoff
Copyright of article: Copyright 2000, American Mathematical Society


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