%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

W. G. Pritchard Lab Seminar: 11:15 AM - 12:15 PM, 216 McAllister Bldg

	            **Monday October 17, 2005**
	
Nonlinear elasticity and viscoelasticity

Becca Thomases

Courant Institute of Mathematical Sciences
New York University

Abstract:

In this talk I will present a global existence result for small data 
nonlinear elasticity which also applies to the Oldroyd-B viscoelastic 
fluid model. These results can be obtained via a general local decay 
theorem which applies to wide variety of isotropic hyperbolic systems. 
While small solutions decay, the problem for large data is much more 
complicated. I will present some recent numerical work on the Oldroyd-B 
system which shows that the system develops large stress gradients for 
certain curvilinear flows.  These stress gradients appear to become 
unbounded as material parameters (in particular the Weissenberg number) 
are increased.

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%