scnews: "Asia-Pacific Analysis and PDE Seminar: Yutaka Terasawa -- Convergence of a Nonlocal to a Local Diffuse Interface Model for Two-Phase Flow with Unmatched Densities" by Daniel Hauer

Dear friends and colleagues,

on Monday, 9 May 2022 at
• 01:00 PM for Beijing, Hong Kong and Perth
• 02:00 PM for Seoul and Tokyo
• 03:00 PM for Canberra, Melbourne and Sydney
• 05:00 PM for Auckland

Professor Yutaka Terasawa is giving a talk in our Asia-Pacific Analysis and PDE Seminar on

Convergence of a Nonlocal to a Local Diffuse Interface Model for Two-Phase Flow with Unmatched Densities

Abstract:

We prove convergence of suitable subsequences of weak solutions of a diffuse interface model for the two-phase flow of incompressible fluids with different densities with a nonlocal Cahn-Hilliard equation to weak solutions of the corresponding system with a standard "local" Cahn-Hilliard equation. The analysis is done in the case of a sufficiently smooth bounded domain with no-slip boundary conditions for the velocity and Neumann boundary conditions for the Cahn-Hilliard equation. The proof is based on the corresponding result in the case of a single Cahn-Hilliard equation and compactness arguments used in the proof of existence of weak solutions for the diffuse interface model.

This talk is based on recent joint work with Helmut Abels (Regensburg Univ., Germany).

Chair: Yoshikazu Giga (The University of Tokyo, Japan)

More information and how to attend this talk can be found at the seminar webpage .

Best wishes,

Daniel H.

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Webinar Speaker

Yutaka Terasawa

Associate Professor @ Nagoya University, Japan

Yutaka Terasawa obtained a doctorate degree in Science in Hokkaido University in Japan in 2007 under supervision by Tohru Ozawa and Yoshikazu Giga. He got a JSPS Research Fellowships for Young Scientists (DC2 and PD) from 2006 to 2008, by which he collaborated with Helmut Abels in Stefan Müller's group in Max Planck Institute for Mathematics in the Applied Sciences in Leipzig. After that, he spent six months further as a postdoc fellow at the same institute, three months in Université Paris-Est-Marne-la-Vallée in Paris and three months in Charles University in Prague from 2008 to 2009. He became a research assistant in Tohoku University in 2009. In 2010, we was a specially appointed researcher at the University of Tokyo. Terasawa received the JSPS Research Fellowship for Young Scientists (PD) in 2011, and in 2013, he was appointed as assistant professor in 2013 at the University of Tokyo.

Since 2014, he is appointed as associate professor at the Graduate School of Mathematics of the Nagoya University in Japan. His main research interest is in mathematical analysis of incompressible fluids, especially diffuse interface models of two-phase flow, harmonic analysis and probability theory.

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