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Critical Fujita exponents for a class of nonlinear convection–diffusion equations
Author(s) -
Guo Wei,
Wang Zejia,
Du Runmei,
Wen Lishu
Publication year - 2010
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1406
Subject(s) - fujita scale , mathematics , class (philosophy) , nonlinear system , critical exponent , mathematical analysis , diffusion , homogeneous , convection , geometry , scaling , combinatorics , physics , meteorology , computer science , thermodynamics , quantum mechanics , artificial intelligence
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. Copyright © 2010 John Wiley & Sons, Ltd.