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Texas A&M University
Mathematics

Events for 02/15/2022 from all calendars

Colloquium - Maxim Olshanskii

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Time: 4:00PM - 5:00PM

Location: BLOC 117

Speaker: Maxim Olshanskii, University of Houston

Description:
Title: Numerical analysis of surface fluids
Abstract: 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. The methods are combined to deliver a computationally tractable and thermodynamically consistent model describing the dynamics of a two-phase viscous layer. The talk closes with an illustration of the model capacity to predict lateral ordering in multicomponent vesicles of different lipid compositions.