第20回非線形発展方程式セミナー＠KUE

日時: 2021年6月15日(火)16:30-18:00

場所: zoomミーティング

講演者: 寺澤 祐高 氏（名古屋大学大学院 多元数理科学研究科）

題目: Weak Solutions for a Diffuse Interface Model for Two-Phase Flows of Incompressible Fluids with Different Densities and Nonlocal Free Energies

　We prove existence of weak solutions for 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. In contrast to previous works, we study a model with a singular non-local free energy, which controls the 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).