Universality in Blow-Up for Nonlinear Heat Equations
J. Bricmont, A. Kupiainen
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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