Well-posedness for stochastic scalar conservation laws with the initial-boundary condition

DOI10.1016/j.jmaa.2018.01.054zbMath1390.35438OpenAlexW2789638515MaRDI QIDQ1706552

Dai Noboriguchi, Kazuo Kobayasi

Publication date: 22 March 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.01.054

zbMATH Keywords

initial-boundary value problemconservation lawsstochastic partial differential equationskinetic formulation

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) PDEs with randomness, stochastic partial differential equations (35R60) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items (3)

The Dirichlet Problem for Stochastic Degenerate Parabolic-Hyperbolic Equations ⋮ Ergodicity for stochastic conservation laws with multiplicative noise ⋮ The strong trace property and the Neumann problem for stochastic conservation laws

Cites Work

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• A time-splitting approach to quasilinear degenerate parabolic stochastic partial differential equations.
• A stochastic conservation law with nonhomogeneous Dirichlet boundary conditions
• Degenerate parabolic stochastic partial differential equations: quasilinear case
• A kinetic approach to comparison properties for degenerate parabolic-hyperbolic equations with boundary conditions
• Stochastic scalar conservation laws
• Scalar conservation laws with stochastic forcing
• On \(L^ {p}\)-solutions of semilinear stochastic partial differential equations.
• On nonlinear stochastic balance laws
• Degenerate parabolic stochastic partial differential equations
• The Dirichlet problem for a conservation law with a multiplicative stochastic perturbation
• First order quasilinear equations with boundary conditions
• 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
• Entropy Formulation for Parabolic Degenerate Equations with General Dirichlet Boundary Conditions and Application to the Convergence of FV Methods
• A Kinetic Formulation for Multidimensional Scalar Conservation Laws with Boundary Conditions and Applications
• Stochastic Equations in Infinite Dimensions

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