On a classical solvability of a Florin problem

• Published in: Український математичний вісник
• Date: 2008
• ISSN: 1810-3200
• Main Author: Bizhanova, G.I.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/124294
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On a classical solvability of a Florin problem / G.I. Bizhanova // Український математичний вісник. — 2008. — Т. 5, № 1. — С. 16-31. — Бібліогр.: 21 назв. — англ.

There is considered the multidimensional two-phase Stefan problem with a small parameter k at the velocity of a free boundary in a Stefan condition. The unique solvability and coercive uniform with respect to k estimate of the solution for t ≤ T₀, T₀ - independent on k, are proved and on the basis o...