Asymptotic behavior of a class of multiple time scales stochastic kinetic equations
DOI10.1016/j.spa.2023.104265arXiv2106.06417OpenAlexW3166909957MaRDI QIDQ6189180
Charles-Edouard Bréhier, Shmuel Rakotonirina-Ricquebourg
Publication date: 12 January 2024
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.06417
diffusion approximationaveraging principlestochastic kinetic equationsperturbed test functions method
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) PDEs in connection with fluid mechanics (35Q35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Kinetic theory of gases in time-dependent statistical mechanics (82C40)
Cites Work
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- Strong and weak orders in averaging for SPDEs
- Diffusion-approximation in stochastically forced kinetic equations
- Averaging principle for a class of stochastic reaction-diffusion equations
- On the Skorokhod topology
- Compact sets in the space \(L^ p(0,T;B)\)
- Boundary layers and homogenization of transport processes
- Diffusive limit for finite velocity Boltzmann kinetic models
- Classical and quantum transport in random media.
- A diffusion approximation theorem for a nonlinear PDE with application to random birefringent optical fibers
- Diffusion limit for a stochastic kinetic problem
- Diffusion approximation for multi-scale stochastic reaction-diffusion equations
- Diffusion-approximation for a kinetic spray-like system with random forcing
- A Smoluchowski-Kramers approximation for an infinite dimensional system with state-dependent damping
- Orders of convergence in the averaging principle for SPDEs: the case of a stochastically forced slow component
- Wave propagation and time reversal in randomly layered media.
- A Khasminskii type averaging principle for stochastic reaction-diffusion equations
- Homogenization of a nonlinear random parabolic partial differential equation.
- Stochastic Acceleration in an Inhomogeneous Time Random Force Field
- Averaging lemmas without time Fourier transform and application to discretized kinetic equations
- Efficient Asymptotic-Preserving (AP) Schemes For Some Multiscale Kinetic Equations
- The perturbed test function method for viscosity solutions of nonlinear PDE
- On Asymptotic Preserving Schemes for a Class of Stochastic Differential Equations in Averaging and Diffusion Approximation Regimes
- Analysis of an Asymptotic Preserving Scheme for Stochastic Linear Kinetic Equations in the Diffusion Limit
- Multiscale Methods
- Asymptotic behavior of multiscale stochastic partial differential equations with Hölder coefficients
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