Scalar conservation laws with stochastic forcing
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math.PR
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conservationproblemscalarsolutionstochasticadditiveadmitsapproximation
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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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