For more information about this meeting, contact Yuxi Zheng.
| Title: | Systems of hyperbolic conservation laws with prescribed eigencurves |
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| Seminar: | CCMA PDEs and Numerical Methods Seminar Series |
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| Speaker: | Kris Jenssen, PSU |
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| Abstract: |
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| We study the problem of constructing systems of hyperbolic conservation laws
in one space dimension with prescribed eigencurves, i.e. the eigenvector
fields of the Jacobian of the flux are given. We formulate this as a
(typically overdetermined) system of equations for the eigenvalues-to-be. Equivalent formulations in terms of differential and algebraic-differential equations are considered. The resulting equations are then
analyzed with techniques from exterior differential systems
(Cartan-Kahler theory). The cases of 2x2- and 3x3-systems can be treated in detail, and explicit examples show that already the 3x3-case is fairly complex.
The role of richness (i.e. pairwise involution of the given
eigenvector fields) is analyzed. As an application we characterize
conservative systems with the same eigencurves as compressible gas dynamics. |
Room Reservation Information
| Room Number: | MB216 |
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| Date: | 12 / 01 / 2008 |
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| Time: | 03:35pm - 04:25pm |
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