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Stochastic perturbation of scalar conservation laws

Vovelle, J (Claude Bernard)
Thursday 01 July 2010, 14:10-15.00

Seminar Room 1, Newton Institute


In this joint work with Arnaud Debussche, we show that the Cauchy Problem for a randomly forced, periodic multi-dimensional scalar first-order conservation law with additive or multiplicative noise is well-posed: it admits a unique solution, characterized by a kinetic formulation of the problem, which is the limit of the solution of the stochastic parabolic approximation.


[pdf ]


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