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
Burgers equationreaction-diffusion equationstransition semigroupexponential convergence to equilibrium
KdV equations (Korteweg-de Vries equations) (35Q53) Reaction-diffusion equations (35K57) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)
Related Items (4)
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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