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A nonlinear degenerate parabolic system with non-local source and crosswise-diffusion

โœ Scribed by W. Deng; Y. Li; C. Xie

Publisher
Springer
Year
2003
Tongue
English
Weight
258 KB
Volume
54
Category
Article
ISSN
0044-2275

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๐Ÿ“œ SIMILAR VOLUMES

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In this paper, we study the strict localization for the doubly degenerate parabolic equation with strongly nonlinear sources, We prove that, for non-negative compactly supported initial data, the strict localization occurs if and only if q m(p-1).

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We establish local existence and comparison for a model problem which incorporates the effects of non-linear diffusion, convection and reaction. The reaction term to be considered contains a non-local dependence, and we show that local solutions can be obtained via monotone limits of solutions to ap