Scalar conservation laws with stochastic forcing

Details Scalar conservation laws with stochastic forcing Scalar conservation laws with stochastic forcing

2010-01-29

arxiv.org/abs/1001.5415v1

Mathematics

Analysis of PDEs

Scientific paper

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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