Self-similar blow-up in parabolic equations of Monge--Ampère type

Details Self-similar blow-up in parabolic equations of Monge--Ampère type Self-similar blow-up in parabolic equations of Monge--Ampère type

2009-06-23

arxiv.org/abs/0906.4233v1

Mathematics

Analysis of PDEs

43 pages, 23 figures

Scientific paper

We propose nonlinear parabolic equations of Monge--Amp\'ere (M--A) type that
admit regional, single poin, and global blow-up of similarity type. A similar
model is derived for a fourth-order M--A flow.

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