A Bhatnagar-Gross-Krook approximation to stochastic scalar conservation laws

DOI10.1214/14-AIHP610zbMath1329.60214arXiv1305.6450OpenAlexW2964153601MaRDI QIDQ902880

Martina Hofmanová

Publication date: 4 January 2016

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.6450

zbMATH Keywords

hydrodynamic limitBGK modelkinetic solutionstochastic scalar conservation lawsstochastic characteristics method

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

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Cites Work

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• Scalar conservation laws with fractional stochastic forcing: existence, uniqueness and invariant measure
• A kinetic equation with kinetic entropy functions for scalar conservation laws
• Well-posedness of the transport equation by stochastic perturbation
• Ordinary differential equations, transport theory and Sobolev spaces
• Stochastic scalar conservation laws
• Scalar conservation laws with stochastic forcing
• Erratum on ``Boundary conditions for scalar conservation laws, from a kinetic point of view
• Boundary conditions for scalar conservation laws from a kinetic point of view
• Conservation laws with a random source
• Well-posedness for non-isotropic degenerate parabolic-hyperbolic equations
• Invariant measures for Burgers equation with stochastic forcing
• On nonlinear stochastic balance laws
• Degenerate parabolic stochastic partial differential equations
• A Bhatnagar–Gross–Krook approximation to scalar conservation laws with discontinuous flux
• ON A STOCHASTIC FIRST-ORDER HYPERBOLIC EQUATION IN A BOUNDED DOMAIN
• A Kinetic Formulation of Multidimensional Scalar Conservation Laws and Related Equations
• On a stochastic scalar conservation law
• A Kinetic Formulation for Multidimensional Scalar Conservation Laws with Boundary Conditions and Applications
• THE CAUCHY PROBLEM FOR CONSERVATION LAWS WITH A MULTIPLICATIVE STOCHASTIC PERTURBATION
• Stochastic Equations in Infinite Dimensions

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