セミナー

非線形解析セミナー

タイトル	Weak Solutions for a Diffuse Interface Model for Two-Phase Flows of Incompressible Fluids with Different Densities and Nonlocal Free Energies
開催日時	2019年10月25日 17：00-
主催者
講演者	寺澤 祐高 氏（名大・多元数理）
場所	慶應義塾大学理工学部 14棟 733 (創想館 7階 ミーティング3)
内容	We consider a diffuse interface model for the flow of two viscous incompressible Newtonian fluids with different densities in a bounded domain in two and three space dimensions and prove existence of weak solutions for it. In contrast to previous works, we study a model with a singular non-local free energy, which controls some fractional Sobolev norm of the volume fraction. We show existence of weak solutions for large times with the aid of an implicit time discretization. This talk is based on a joint work with Professor Helmut Abels (Regensburg).
資料
URL