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CNA Seminar/Colloquium/Joint Pitt-CNA Colloquium
Xiang Xu
Center for Nonlinear Analysis, Carnegie Mellon University
Title: Analysis of a hydrodynamic system modeling vesicle and fluid interaction

Abstract: First we will introduce a hydrodynamical system modeling the deformation of vesicle membranes in incompressible viscous fluids. Then in three dimensional case we prove the existence/uniqueness of local strong solutions for arbitrary initial data. We also establish some regularity criteria in terms of the velocity for local smooth solutions. Finally, we study the stability of the system near local minimizers of the elastic bending energy

Date: Thursday, April 5, 2012
Time: 1:30 pm
Submitted by:  David Kinderlehrer