3 citations · 3 across the 3 of their papers we have counts for
7 papers
Boundary layers and vanishing diffusivity in run-and-tumble models
Dallas Albritton, Laurel Ohm, Timur Yastrzhembskiy
A notable feature of confined active matter systems is the tendency for motile particles to accumulate near solid boundaries. In various linear models with no-flux boundary conditi…
Asymptotic Stability for Relativistic Vlasov-Maxwell-Landau System in Bounded Domain
Hongjie Dong, Yan Guo, Timur Yastrzhembskiy
The control of plasma-wall interactions is crucial to fusion devices from both physical and mathematical perspectives. It is well known that a magnetic field satisfying the classic…
The Local-well-posedness of the relativistic Vlasov-Maxwell-Landau system with the specular reflection boundary condition
Hongjie Dong, Yan Guo, Zhimeng Ouyang +1
We prove the local-in-time well-posedness of the relativistic Vlasov-Maxwell-Landau system in a bounded domain with the specular reflection condition. Our result covers the cas…
A note on the strong Feller property of diffusion processes
Timur Yastrzhembskiy
In this note we prove the strong Feller property of a strong Markov quasi diffusion process corresponding to an elliptic operator with merely bounded measurable coefficients. We al…
On the stability estimates for stochastic and deterministic difference equations and their application to SPDEs and PDEs
Timur Yastrzhembskiy
In this paper we develop the -theory of space-time stochastic difference equations which can be considered as a discrete counterpart of N.V. Krylov's -theory of stochasti…
Support theorem for an SPDE with multiplicative noise driven by a cylindrical Wiener process on the real line
Timur Yastrzhembskiy
We prove a Stroock-Varadhan's type support theorem for a stochastic partial differential equation (SPDE) on the real line with a noise term driven by a cylindrical Wiener process o…