PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Hope Shaffer, Chun Liu.

Title:Finite time singularities of inhomogeneous elasticity
Seminar:CCMA Luncheon Seminar
Speaker:Tao Huang, Penn State University
Abstract:
We study the formation of finite time singularities in the form of super norm blowup for a spatially hyperbolic system modeling inhomogeneous elasticity, which is related to the variational wave equations. The system possesses a unique $C^1$ solution before the emergence of vacuum in finite time, for given initial data that are smooth enough, bounded and uniformly away from vacuum. At the occurrence of blowup, the density becomes zero, while the momentum stays finite, however the velocity and the density of the energy are both infinite.

Room Reservation Information

Room Number:MB114
Date:12 / 01 / 2014
Time:12:20pm - 01:30pm