Conservation laws with a random source
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Publication:1365468
DOI10.1007/BF02683344zbMath0885.35069OpenAlexW2094582224WikidataQ115149416 ScholiaQ115149416MaRDI QIDQ1365468
Nils Henrik Risebro, Helge Holden
Publication date: 4 September 1997
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02683344
Hyperbolic conservation laws (35L65) PDEs with randomness, stochastic partial differential equations (35R60)
Related Items (29)
A note on front tracking and the equivalence between viscosity solutions of Hamilton-Jacobi equations and entropy solutions of scalar conservation laws ⋮ Multilevel Monte Carlo front-tracking for random scalar conservation laws ⋮ Conservation laws driven by Lévy white noise ⋮ Stochastic scalar conservation laws driven by rough paths ⋮ Scalar conservation laws with rough flux and stochastic forcing ⋮ On stochastic conservation laws and Malliavin calculus ⋮ High-resolution schemes for stochastic nonlinear conservation laws ⋮ Stochastic non-isotropic degenerate parabolic-hyperbolic equations ⋮ On the Cauchy problem of a degenerate parabolic-hyperbolic PDE with Lévy noise ⋮ Stochastic conservation laws: weak-in-time formulation and strong entropy condition ⋮ Finite volume schemes for hyperbolic balance laws with multiplicative noise ⋮ A Bhatnagar-Gross-Krook approximation to stochastic scalar conservation laws ⋮ Scalar conservation laws with fractional stochastic forcing: existence, uniqueness and invariant measure ⋮ Hyperbolic Conservation Laws with Stochastic Discontinuous Flux Functions ⋮ Numerical solution of the Stratonovich- and Ito-Euler equations: application to the stochastic piston problem ⋮ A priori estimates for rough PDEs with application to rough conservation laws ⋮ Path-dependent convex conservation laws ⋮ Numerical Solution of Scalar Conservation Laws with Random Flux Functions ⋮ On nonlinear stochastic balance laws ⋮ Convergence of time-splitting approximations for degenerate convection-diffusion equations with a random source ⋮ The shock wave solution to the Riemann problem for the Burgers equation with the linear forcing term ⋮ Well-posedness and regularity for quasilinear degenerate parabolic-hyperbolic SPDE ⋮ The corrected operator splitting approach applied to a nonlinear advection-diffusion problem ⋮ Numerical methods for conservation laws with rough flux ⋮ Long‐Time Behavior, Invariant Measures, and Regularizing Effects for Stochastic Scalar Conservation Laws ⋮ FRONT TRACKING FOR SCALAR BALANCE EQUATIONS ⋮ Sparse tensor multi-level Monte Carlo finite volume methods for hyperbolic conservation laws with random initial data ⋮ Convergence of a flux-splitting finite volume scheme for conservation laws driven by Lévy noise ⋮ Operator splitting methods for generalized Korteweg-de Vries equations
Cites Work
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- The method of fractional steps for conservation laws
- Stochastic Burgers' equation in the inviscid limit
- Approximation of some stochastic differential equations by the splitting up method
- Statistics of shocks in solutions of inviscid Burgers equation
- The inviscid Burgers equation with initial data of Brownian type
- Two results concerning asymptotic behavior of solutions of the Burgers equation with force
- The stochastic Burgers equation
- Dynamic Scaling of Growing Interfaces
- A Moving Mesh Numerical Method for Hyperbolic Conservation Laws
- Asymptotic properties of Burgers turbulence
- STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS AND TURBULENCE
- Stochastic Properties of the Scalar Buckley-Leverett Equation
- The burgers equation with a noisy force and the stochastic heat equation
- A Method of Fractional Steps for Scalar Conservation Laws without the CFL Condition
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