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arxiv: 0902.1090 · v1 · submitted 2009-02-06 · 🧮 math.AP

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

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keywords blow-upself-similarequationfourth-orderincompletereaction-diffusioncompletediscussed
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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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