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

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

2009-02-06

arxiv.org/abs/0902.1090v1

Mathematics

Analysis of PDEs

28 pages, 16 figures

Scientific paper

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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