Applied Mathematics and Computation Seminar
Hyperbolic systems: geometric structure and entropies
Kris Jenssen, Penn State

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).

Refreshments at 3:45

4:00pm–5:00pm, Tuesday, December 1, 2009 in LGRT 1634

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