Weak asymptotic solution of the phase field system in the case of confluence of free boundaries in the Stefan problem with undercooling
Danilov, V. G.
arXiv, 0512086 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2005-12-27
Classification:  Mathematical Physics 
@article{0512086,
     author = {Danilov, V. G.},
     title = {Weak asymptotic solution of the phase field system in the case of
  confluence of free boundaries in the Stefan problem with undercooling},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0512086}
}

Danilov, V. G. Weak asymptotic solution of the phase field system in the case of
  confluence of free boundaries in the Stefan problem with undercooling. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0512086/