M.A. Olshanskii | Modeling and numerical analysis of surface fluids
Channel: EIMI, PDMI RAS and Chebyshev Laboratory
Date: 2022-08-01

O.A. Ladyzhenskaya centennial conference on PDE’s, St. Petersburg, July 16 – July 22, 2022
Maxim Olshanskii (University of Houston) 
Modeling and numerical analysis of surface fluids

In this talk we focus on numerical analysis for systems of PDEs governing
the motion of material viscous surfaces, the topic motivated by continuum-based modeling of lateral organization in plasma membranes. We shall consider several systems of fluid and phase-field equations defined on evolving surfaces and discuss some recent results about well-posedness of such problems. We further introduce a computational approach and numerical analysis for the resulting systems of PDEs. This dilivers a computationally tractable and thermodynamically consistent model describing the dynamics of a multi-component thin viscous layer.