Regional, single point, and global blow-up for the fourth-order porous medium type equation with source

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Three types of blow-up for a fourth-order degenerate reaction-diffusion equation are studied by a combination of analytic and numerical methods. At the critical values of parameters, there occurs a variational problem with a countable set of solutions obtained by Lysternik--Shnirelman category theory, which then are extended to neighbouring values of parameters by a homotopy-like approach.
39 pages, 28 figures

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Analysis of PDEs, 35K55, 35K40, 35K65

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http://salesiana.dossiersoluciones.com/handle/123456789/217605

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0901.4279
 http://arxiv.org/abs/0901.4279

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arXiv