CLASSICAL SOLVABILITY OF THE TWO-PHASE STEFAN PROBLEM IN A VISCOUS INCOMPRESSIBLE FLUID FLOW
2002 ◽
Vol 12
(03)
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pp. 365-391
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Keyword(s):
In this paper we study the two-phase Stefan problem for a viscous incompressible fluid which is a model of melting a solid to a liquid or of soldificating a liquid to a solid with a liquid flowing. The unique solvability is established in Hölder spaces locally in time. The method of the proof is rather standard, however the result obtained is completely new: the existence in the Hölder spaces with the same Hölder exponents as the data and the uniqueness also in the same Hölder spaces.
1999 ◽
Vol 30
(3)
◽
pp. 584-602
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Keyword(s):
Keyword(s):
1973 ◽
Vol 1973
(216)
◽
pp. 79-89
2017 ◽
Vol 20
(4)
◽
pp. 543-560