PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Tianyou Zhang.

Title:Conservation Laws with no Classical Riemann Solutions: Existence of Singular Shocks
Seminar:Hyperbolic and Mixed Type PDEs Seminar
Speaker:Charis Tsikkou, West Virginia University
Abstract:
The basic tool in the construction of solutions to the Cauchy problem for conservation laws with smooth initial data is the Riemann problem. We review the results obtained for the solutions to the Riemann problem and present systems of two equations with no classical solutions. We then use the blowing-up approach to geometric singular perturbation problems to show that the systems exhibit unbounded solutions (singular shocks) with Dafermos pro files.

Room Reservation Information

Room Number:MB216
Date:04 / 10 / 2014
Time:10:00am - 10:50am