Seminário Análise Funcional e Aplicações 

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.