Xavier Raynaud/

The Camassa-Holm equation, proof of existence of solutions.

DIFTA 2005–03–17 and 2005–03–31?

Abstract: I will present results contained in the following papers:

I think I will need 4 hours. The first two hours will be dedicated to the proof of existence of viscous regularization. This method is quite general and is used in conservation laws. During the two remaining hours, I will let the viscosity tend to zero and prove that there exists a subsequence that converges to the solution of the Camassa-Holm equation.