Incomplete self-similar blow-up in a semilinear fourth-order reaction-diffusion equation

V. A. Galaktionov

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arXiv · 0902.1090

Incomplete self-similar blow-up in a semilinear fourth-order reaction-diffusion equation

V. A. Galaktionov

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Abstract

It is shown that self-similar blow-up for a fourth-order reaction-diffusion equation is incomplete in the sense that, in general, there exists a self-similar extension of solutions after blow-up. Other types of complete blow-up of non self-similar form are discussed.

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V. A. Galaktionov. 2009-02-06. Incomplete self-similar blow-up in a semilinear fourth-order reaction-diffusion equation. https://arxiv.org/abs/0902.1090

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