Synchronisation for scalar conservation laws via Dirichlet boundary

DOI10.3150/24-BEJ1739MaRDI QIDQ6632618

Ana Djurdjevac, Tommaso Cornelis Rosati

Publication date: 5 November 2024

Published in: Bernoulli (Search for Journal in Brave)

zbMATH Keywords

mixingsynchronisationscalar conservation lawsBurgers

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs with randomness, stochastic partial differential equations (35R60) Initial value problems for second-order parabolic equations (35K15) Quasilinear parabolic equations (35K59)

Cites Work

• Multidimensional potential Burgers turbulence
• Solving the KPZ equation
• KPZ reloaded
• Invariant measure of scalar first-order conservation laws with stochastic forcing
• Scalar conservation laws with stochastic forcing
• Two results concerning asymptotic behavior of solutions of the Burgers equation with force
• Invariant measures for Burgers equation with stochastic forcing
• Exponential convergence to the stationary measure for a class of 1D Lagrangian systems with random forcing
• The dynamic \({\Phi^4_3}\) model comes down from infinity
• On \(L^ {p}\)-solutions of semilinear stochastic partial differential equations.
• Singular HJB equations with applications to KPZ on the real line
• The KPZ equation on the real line
• Stationary solutions to the stochastic Burgers equation on the line
• Synchronization for KPZ
• Control theory for the Burgers equation: Agrachev-Sarychev approach
• Mixing for the Burgers Equation Driven by a Localized Two-Dimensional Stochastic Forcing
• Analytic semigroups and optimal regularity in parabolic problems
• Lyapunov exponents in a slow environment
• Invariant measures for stochastic conservation laws on the line
• Stationary measure for the open KPZ equation

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