PDE Real Analysis Seminar
Seminar information archive ~05/02|Next seminar|Future seminars 05/03~
Date, time & place | Tuesday 10:30 - 11:30 056Room #056 (Graduate School of Math. Sci. Bldg.) |
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Organizer(s) | Yoshikazu Giga, Kazuhiro Ishige, Hiroyoshi Mitake, Tsuyoshi Yoneda |
URL | https://www.math.sci.hokudai.ac.jp/coe/sympo/pde_ra/index_en.html |
2004/10/13
10:30-11:30 Room #128 (Graduate School of Math. Sci. Bldg.)
Philippe G. LeFloch (University of Paris 6)
Existence, uniqueness, and continuous dependence of entropy solutions to hyperbolic systems
http://coe.math.sci.hokudai.ac.jp/sympo/pde_ra/index.html
Philippe G. LeFloch (University of Paris 6)
Existence, uniqueness, and continuous dependence of entropy solutions to hyperbolic systems
[ Abstract ]
I will review the well-posedness theory of nonlinear hyperbolic systems, in conservative or in non-conservative form, by focusing attention on the existence and properties of entropy solutions with sufficiently small total variation.
New results and perspectives on the following issues will be discussed: Glimm's existence theorem,
Bressan-LeFloch's uniqueness theorem,and the L1 continuous dependence property (established by Bressan, LeFloch, Liu, and Yang).
[ Reference URL ]I will review the well-posedness theory of nonlinear hyperbolic systems, in conservative or in non-conservative form, by focusing attention on the existence and properties of entropy solutions with sufficiently small total variation.
New results and perspectives on the following issues will be discussed: Glimm's existence theorem,
Bressan-LeFloch's uniqueness theorem,and the L1 continuous dependence property (established by Bressan, LeFloch, Liu, and Yang).
http://coe.math.sci.hokudai.ac.jp/sympo/pde_ra/index.html