a1 Moscow Technical University of Communication and Informatics email: email@example.com
We assume that the Stefan problem with underheating has a classical solution until the moment of contact of two distinct free boundaries and the free boundaries have continuous velocities until the moment of contact. Under these assumptions, we construct a smooth approximation of the global solution of the Stefan problem with underheating, which, until the contact, gives the classical solution mentioned above and, after the contact, gives a solution that is the solution of the heat equation.
(Received June 20 2006)
(Revised March 21 2007)
(Online publication August 21 2007)