PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Tao Huang, Fang Yu.

Title:Finite time singularities for hyperbolic systems
Seminar:Complex Fluids 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 inhomogeneous hyperbolic system. The system is related to the variational wave equations as those in \cite{ghz}.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 infinity.

Room Reservation Information

Room Number:MB315
Date:01 / 15 / 2014
Time:03:00pm - 04:30pm