Scalar conservation laws with fractional stochastic forcing: existence, uniqueness and invariant measure

DOI10.1016/j.spa.2012.01.005zbMath1278.35158OpenAlexW2125535355MaRDI QIDQ424481

Ion Lucretiu Stoica, Bruno Saussereau

Publication date: 1 June 2012

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spa.2012.01.005

zbMATH Keywords

fractional Brownian motionvariational principlerandom perturbationsgeneralized characteristicdeterministic control theory

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) PDEs in connection with control and optimization (35Q93)

Related Items (8)

A survey of results on conservation laws with deterministic and random initial data ⋮ Stochastic scalar conservation laws driven by rough paths ⋮ Scalar conservation laws with rough flux and stochastic forcing ⋮ Invariant measure of scalar first-order conservation laws with stochastic forcing ⋮ A Bhatnagar-Gross-Krook approximation to stochastic scalar conservation laws ⋮ A priori estimates for rough PDEs with application to rough conservation laws ⋮ Well-posedness and regularity for quasilinear degenerate parabolic-hyperbolic SPDE ⋮ Long‐Time Behavior, Invariant Measures, and Regularizing Effects for Stochastic Scalar Conservation Laws

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