93-191 Bricmont J., Kupiainen A.
Universality in blow-up for nonlinear heat equations (85K, Latex) Jun 22, 93
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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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