Smoluchowski-Kramers approximation with state dependent damping and highly random oscillation
DOI10.3934/dcdsb.2022086zbMath1505.34091OpenAlexW4285308411MaRDI QIDQ2083310
Publication date: 10 October 2022
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2022086
stochastic differential equationsmartingalerandom oscillationSmoluchowski-Kramers approximationstate dependent friction
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Ordinary differential equations and systems with randomness (34F05) Generation, random and stochastic difference and differential equations (37H10) Singular perturbations for ordinary differential equations (34E15)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Some remarks on the Smoluchowski-Kramers approximation
- Infinite-dimensional dynamical systems in mechanics and physics.
- Diffusion approximation for nonlinear evolutionary equations with large interaction and fast boundary fluctuation
- The Smoluchowski-Kramers limit of stochastic differential equations with arbitrary state-dependent friction
- Smoluchowski-Kramers approximation in the case of variable friction
- On the Smoluchowski-Kramers approximation for a system with an infinite number of degrees of freedom
- Diffusion approximation for self-similarity of stochastic advection in Burgers' equation
- White Noise Limits for Inertial Particles in a Random Field
- Approximation of the random inertial manifold of singularly perturbed stochastic wave equations
- Analysis of White Noise Limits for Stochastic Systems with Two Fast Relaxation Times
This page was built for publication: Smoluchowski-Kramers approximation with state dependent damping and highly random oscillation
