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University of Massachusetts Amherst
Department of Mathematics and Statistics
 
Applied Mathematics and Computation Seminar


Hyperbolic systems: geometric structure and entropies


Abstract: We study the problem of constructing nxn-systems of hyperbolic conservation laws in one space dimension with prescribed eigencurves: the eigenvector fields of the Jacobian of the flux are given. We formulate this as an overdetermined system for the eigenvalues-to-be. The resulting equations are analyzed with techniques from exterior differential systems. Further constraints may be added and the cases of rich systems and systems with associated entropies can be analyzed within the same setup. This is joint work with Irina Kogan (North Carolina State University).


Kris Jenssen
Penn State

Tuesday, December 1, 2009

4:00pm-5:00pm

Refreshments at 3:45

LGRT 1634