3 papers
math.AP2025
Landau damping and the long-time collisionless limit of the Vlasov-Poisson-Landau Equation
Jacob Bedrossian, Weiren Zhao, Ruizhao Zi
In this paper, we study the Vlasov-Poisson-Landau Equations on with small collision frequency . We prove that for -independent perturba…
math.AP2024
On The Hydrostatic Approximation of Navier-Stokes-Maxwell System with 2D Electronic Fields
Faiq Raees, Weiren Zhao
In this paper, we prove the local well-posedness of a scaled anisotropic Navier-Stokes-Maxwell system in a two-dimensional striped domain with a transverse magnetic field around $…
math.AP2024
Improved stability threshold of the Two-Dimensional Couette flow for Navier-Stokes-Boussinesq Systems via quasi-linearization
Binqian Niu, Weiren Zhao
In this paper, we improve the size requirement of the perturbations for the asymptotic stability of the Couette flow in stratified fluids governed by the two-dimensional Navier-Sto…