Stochastic scalar conservation laws driven by rough paths
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Publication:305110
DOI10.1016/j.anihpc.2015.01.009zbMath1345.60055arXiv1403.6785OpenAlexW2964227657MaRDI QIDQ305110
Publication date: 26 August 2016
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1403.6785
stabilityrandom dynamical systemslarge deviationsrough pathsKružkov entropy solutionsstochastic scalar conservation laws
Hyperbolic conservation laws (35L65) Large deviations (60F10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Generation, random and stochastic difference and differential equations (37H10) PDEs with randomness, stochastic partial differential equations (35R60)
Related Items (14)
Stochastic perturbation of the Lighthill-Whitham-Richards model via the method of stochastic characteristics ⋮ Heterogeneous stochastic scalar conservation laws with non-homogeneous Dirichlet boundary conditions ⋮ Scalar conservation laws with rough flux and stochastic forcing ⋮ Stochastic non-isotropic degenerate parabolic-hyperbolic equations ⋮ Non-equilibrium large deviations and parabolic-hyperbolic PDE with irregular drift ⋮ The impact of noise on Burgers equations ⋮ Unbounded rough drivers ⋮ Quasilinear rough partial differential equations with transport noise ⋮ A priori estimates for rough PDEs with application to rough conservation laws ⋮ Well-posedness of SVI solutions to singular-degenerate stochastic porous media equations arising in self-organized criticality ⋮ Stochastic nonlinear Fokker-Planck equations ⋮ The Burgers' equation with stochastic transport: shock formation, local and global existence of smooth solutions ⋮ 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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