Confluence of the nonlinear waves in the Stefan problem with undercooling

نویسندگان

  • V. G. Danilov
  • V. Yu. Rudnev
چکیده

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 continuous velocities until the moment of 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 equation.

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تاریخ انتشار 2006