Fujita phenomenon in inhomogeneous fast diffusion system

This paper deals with the Fujita phenomenon for the Cauchy problem of an inhomogeneous fast diffusion system. Both the critical exponent and the second exponent are obtained. We observe that the inhomogeneous terms in the system substantially contribute to the critical exponent, in that the blow-up...

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Bibliographic Details
Published in:Zeitschrift für angewandte Mathematik und Physik 2013-04, Vol.64 (2), p.311-319
Main Authors: Yang, Jinge, Zheng, Sining, Qu, Chengyuan
Format: Article
Language:English
Subjects:
Cauchy problem
Diffusion
Diffusion rate
Engineering
Expansion
Exponents
Mathematical analysis
Mathematical Methods in Physics
Theoretical and Applied Mechanics
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Summary:This paper deals with the Fujita phenomenon for the Cauchy problem of an inhomogeneous fast diffusion system. Both the critical exponent and the second exponent are obtained. We observe that the inhomogeneous terms in the system substantially contribute to the critical exponent, in that the blow-up exponent region is obviously enlarged, with keeping the second critical exponent unchanged for small inhomogeneous sources.
ISSN:0044-2275
1420-9039
DOI:10.1007/s00033-012-0239-3