4 papers
Half-space problem on the Boltzmann equation with zero Mach number at infinity
Hongxu Chen, Jun-ling Chen, Renjun Duan
We study the long-time dynamics of the time-evolutionary Boltzmann equation with hard sphere collisions in the three-dimensional half-space \( \mathbb{R}^2 \times \mathbb{R}^+\), s…
Homogenization and corrector results for the stochastic non-homogeneous incompressible Navier-Stokes equations with rapid oscillation
Zhaoyang Qiu, Junlong Chen, Jinqiao Duan
In this paper we are concerned with the homogenization property of stochastic non-homogeneous incompressible Navier-Stokes equations with rapid oscillation in a smooth bounded doma…
Stochastic homogenization of nonlinear evolution equations with space-time nonlocality
Junlong Chen, Yanbin Tang
In this paper we consider the homogenization problem of nonlinear evolution equations with space-time non-locality, the problems are given by Beltritti and Rossi [JMAA, 2017, 455:…
Homogenization of the distribution-dependent stochastic abstract fluid models
Junlong Chen, Zhaoyang Qiu, Yanbin Tang
In this paper, we study the homogenization of the distribution-dependent stochastic abstract fluid models by combining the convergence and martingale representative…