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Stochastic perturbation of scalar conservation laws

Thursday 1st July 2010 - 14:10 to 15:00
INI Seminar Room 1
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.
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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons