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Universality in Blow-Up for Nonlinear Heat Equations

J. Bricmont·A. Kupiainen
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Abstract

We consider the classical problem of the blowing-up of solutions of the nonlinear heat equation. We show that there exist infinitely many profiles around the blow-up point, and for each integer $k$, we construct a set of codimension $2k$ in the space of initial data giving rise to solutions that blow-up according to the given profile.

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J. Bricmont, A. Kupiainen. 1993-06-21. Universality in Blow-Up for Nonlinear Heat Equations. https://doi.org/10.1088/0951-7715%2F7%2F2%2F011

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