Large deviation principles for first-order scalar conservation laws with stochastic forcing
نویسندگان
چکیده
منابع مشابه
Scalar conservation laws with stochastic forcing
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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Large deviations principles for a family of scalar 1 + 1 dimensional conservative stochastic PDEs (viscous conservation laws) are investigated, in the limit of jointly vanishing noise and viscosity. A first large deviations principle is obtained in a space of Young measures. The associated rate functional vanishes on a wide set, the so-called set of measurevalued solutions to the limiting conse...
متن کاملScalar conservation laws with stochastic forcing, revised version
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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متن کاملLarge Deviations Principle for Stochastic Conservation Laws
Abstract. We investigate large deviations for a family of conservative stochastic PDEs (viscous conservation laws) in the asymptotic of jointly vanishing noise and viscosity. We obtain a first large deviations principle in a space of Young measures. The associated rate functional vanishes on a wide set, the so-called set of measure-valued solutions to the limiting conservation law. We therefore...
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ژورنال
عنوان ژورنال: The Annals of Applied Probability
سال: 2020
ISSN: 1050-5164
DOI: 10.1214/19-aap1503