Sign Up

Ewing Hall, University of Delaware, Newark, DE 19716, USA

Title:

Energy Variational Modeling and Axisymmetric Simulation of Open Membranes in Stokes Flow

 

Abstract:

In this talk, we present a mathematical and numerical framework for modeling the dynamics of open lipid bilayer membranes immersed in a viscous fluid governed by Stokes flow. Starting from an energy variational principle incorporating Helfrich bending energy and line tension, we derive a coupled system describing the fluid–membrane interaction, subject to area incompressibility and membrane viscosity. Assuming axisymmetry, we reduce the 3D problem to an effectively 1D boundary integral formulation and develop a finite element-based numerical scheme to simulate the moving boundary problem. Numerical results demonstrate the model’s ability to capture membrane dynamics and validate it against known theoretical predictions.

Event Details

See Who Is Interested

0 people are interested in this event


User Activity

No recent activity