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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.
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