Nonlocal Two-phase Incompressible Flows with Unmatched Densities

Nonlocal Two-phase Incompressible Flows with Unmatched Densities
Topic
Nonlocal Two-phase Incompressible Flows with Unmatched Densities
Date & Time
Tuesday, May 13, 2025 - 17:00 - 18:00
Speaker
Maurizio Grasselli, Politecnico di Milano
Location
W923, West Hall, NYU Shanghai New Bund Campus

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Abstract:

The evolution of an isothermal and incompressible two-phase flow can be described by a diffuse interface model which consists of the Navier-Stokes equations for the (volume averaged) velocity suitably coupled with a Cahn-Hilliard type equation for the phase fraction. I will talk about a model proposed by H. Abels, H. Garcke, and G. Gruen (2012) in order to account for different densities, focusing on the case where the Cahn-Hilliard equation is nonlocal. I will present some theoretical results which are mainly concerned with the existence of weak or strong solutions, uniqueness issues, and longtime behavior. Then, I will discuss some open problems and work in progress.

Biography:

Maurizio Grasselli is Professor at Politecnico di Milano. He has been a CNR-NATO fellow at Ohio University (1998), a researcher at the CNR Institute of Numerical Analysis, Pavia (1988-1992), and a CNR fellow at Rutgers University (1991-1991). His research interests include inverse problems for differential and integro-differential equations, infinite-dimensional dissipative dynamical systems, and diffuse interface models. He authored over 190 scientific publications. Since 2010, Maurizio Grasselli has been a corresponding member of the Istituto Lombardo Accademia di Scienze e Lettere.

Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai

This event is open to the NYU Shanghai community and Math community.