9:00 AM-9:30 AM
Room: Capitol Center/South
Chair: Jerrold E. Marsden, California Institute of Technology
The theory of viscous fluids leads to the Navier-Stokes equations and inspires many analytic and numerical treatments of hyperbolic conservation laws. Unfortunately, this beautiful theory also leads to frequently used models for dissipation in solids, for which it is ill adapted.This lecture treats several examples in solid mechanics of the subtle and surprising roles that viscosity plays in numerical methods for capturing shocks, in self-sustained oscillations in continua, in the preclusion of total compression, and in the regularity of solutions for the equations governing large motions of structures.
Stuart S. Antman
Department of Mathematics and Institute for Physical Science and Technology
University of Maryland, College Park
Additional information on the The Theodore von Kármán Prize prize appears at archive.siam.org/prizes/vonkar.htm.
MMD, 2/2/99