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Critical Fujita exponents for a class of nonlinear convection–diffusion equations

✍ Scribed by Wei Guo; Zejia Wang; Runmei Du; Lishu Wen

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
173 KB
Volume
34
Category
Article
ISSN
0170-4214

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✦ Synopsis

Communicated by M. Fila

In this paper, we establish the blow-up theorems of Fujita type for a class of homogeneous Neumann exterior problems of quasilinear convection-diffusion equations. The critical Fujita exponents are determined and it is shown that the exponents belong to the blow-up case under any nontrivial initial data.

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