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

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.