07/07/2006, 14:00 — 15:00 — Sala P3.10, Pavilhão de Matemática
Sergei V. Rogosin, Belarusian State University, Minsk, Belarus
Hele-Shaw model for melting with several dendrits
The melting problem with several dendrits is reduced to a free
boundary Hele-Shaw problem for a multiply connected domain. Its
local in time solvability is studied on the base of a variant of
the Nirenberg-Nishida theorem concerning the Cauchy-Kovalevsky
problem and functional equations in complex domains. Other
approaches to the above problems are discussed as well. The talk is
based upon joint work with Tatsjana Vaiteakhovich.
