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Multinonlinear interactions in quasi-linear reaction-diffusion equations with nonlinear boundary flux

โœ Scribed by Xianfa Song; Sining Zheng

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
780 KB
Volume
39
Category
Article
ISSN
0895-7177

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โœฆ Synopsis

This paper deals with multinonlinearity interactions for more general quasi-linear reaction-diffusion models, where three nonlinear mechanisms-nonlinear diffusion, nonlinear reaction (or absorption), and nonlinear boundary flux-are included. The absorption/boundary flux balance is studied to get the global solvability conditions as well as the blow-up criterion for the model with boundary flux and absorption. Specifically, the global solvability conditions established in this paper for the model with boundary flux and reaction are both necessary and sufficient.

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