Weak asymptotic solution of the phase field system in the case of confluence of free boundaries in the Stefan problem with undercooling

Details Weak asymptotic solution of the phase field system in the case of confluence of free boundaries in the Stefan problem with undercooling Weak asymptotic solution of the phase field system in the case of confluence of free boundaries in the Stefan problem with undercooling

2005-12-27

arxiv.org/abs/math-ph/0512086v2

Physics

Mathematical Physics

Latex, 36p, more detailed version

Scientific paper

We assume that the Stefan problem with undercooling has a classical solution until the moment of contact of free boundaries and the free boundaries have finite velocities until the contact. Under these assumptions, we construct a smooth approximation of the global solution of the Stefan problem with undercooling, which, until the contact, gives the classical solution mentioned above and, after the contact, gives a solution which is the solution of the heat conduction equation.

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