Seminar series
Date
Thu, 28 Feb 2013
12:00
12:00
Location
Gibson 1st Floor SR
Speaker
Stefano Bianchini
Organisation
SISSA-ISAS
The proof of several properties of solutions of hyperbolic systems of conservation laws in one space dimension (existence, stability, regularity) depends on the existence of a decreasing functional, controlling the nonlinear interactions of waves. In a special case (genuinely nonlinear systems) the interaction functional is quadratic, while in the general case it is cubic. Several attempts to prove the existence of a a quadratic functional also in the most general case have been done. I will present the approach we follow in order to prove this result, an some of its implication we hope to exploit.
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Work in collaboration with Stefano Modena.