PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Stephanie Zerby, Joseph Roberts, Yuxi Zheng.

Title:Some geometric aspects of hyperbolic conservation laws
Seminar:Hyperbolic and Mixed Type PDEs Seminar
Speaker:Mike Benfield, North Carolina State University
Abstract:
In studying blowup solutions of hyperbolic conservation laws, it is of interest to find conservation laws with certain prescribed rarefaction curves. This amounts to finding a vector field whose Jacobian matrix has prescribed eigenvector fields. Such problems lead to overdetermined systems of first order PDEs, which can be addressed using geometric methods. Here we review some existing results and present new results for the case of prescribing two eigenvectors in three dimensions.

Room Reservation Information

Room Number:MB216
Date:03 / 24 / 2016
Time:10:00am - 11:00am