PDE Seminar

Title: Nonlinear fluid-structure interaction in 3D
Speaker: Professor Zoran Grujic
Speaker Info: University of Virginia
Brief Description:
Special Note:

Existence theory of global-in-time energy-level weak solutions to a nonlinear fluid-structure interaction model governed by the 3D Navier-Stokes equations coupled with the linear elastic wave equation will be presented. The interaction takes place via an interface--the boundary of the elastic solid immersed in the fluid--and is realized through the continuity of both the velocities and the normal components of the stress tensors across the interface. The essential difficulty is that traces of the elastic component are apriori not well-defined in the setting of the energy-level spaces [the classical trace theory is insufficient], and only after a careful microlocal analysis argument a natural variational formulation is possible. In addition, the aforementioned solutions are shown to be smooth assuming a natural compatibility condition and smooth data.

Date: Thursday, January 11, 2007
Time: 4:10pm
Where: Lunt 105
Contact Person: Prof. Gui-Qiang Chen
Contact email: gqchen@math.northwestern.edu
Contact Phone: 847-491-5553
Copyright © 1997-2024 Department of Mathematics, Northwestern University.