Self-similar blow-up in parabolic equations of Monge--Amp\`ere type
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typeblow-upequationsm--amonge--ampparabolicadmitderived
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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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