Coupling for some partial differential equations driven by white noise

DOI10.1016/j.spa.2005.03.010zbMath1079.60061arXivmath/0410441OpenAlexW2041386282MaRDI QIDQ2387455

Arnaud Debussche, Luciano Tubaro, Giuseppe Da Prato

Publication date: 2 September 2005

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

Full work available at URL: https://arxiv.org/abs/math/0410441

zbMATH Keywords

Burgers equationreaction-diffusion equationstransition semigroupexponential convergence to equilibrium

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Reaction-diffusion equations (35K57) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (4)

Explicit contraction rates for a class of degenerate and infinite-dimensional diffusions ⋮ Ergodic BSDEs under weak dissipative assumptions ⋮ Sticky couplings of multidimensional diffusions with different drifts ⋮ On the stochastic \(p\)-Laplace equation

Cites Work

• \(m\)-dissipativity of Kolmogorov operators corresponding to Burgers equations with space-time white noise
• Coupling of multidimensional diffusions by reflection
• Coupling methods for multidimensional diffusion processes
• Coupling and invariant measures for the heat equation with noise
• Exponential convergence for the stochastically forced Navier-Stokes equations and other partially dissipative dynamics
• Coupling approach to white-forced nonlinear PDEs
• Some properties of invariant measures of non symmetric dissipative stochastic systems
• Exponential mixing properties of stochastic PDEs through asymptotic coupling
• Ergodicity of 2D Navier-Stokes equations with random forcing and large viscosity
• Ergodicity for the stochastic complex Ginzburg--Landau equations
• Ergodicity for Infinite Dimensional Systems
• Stochastic Burgers' equation
• Ergodicity for the randomly forced 2D Navier-Stokes equations

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