110 citations · 183 across the 21 of their papers we have counts for
7 papers · 1 filter
Global well-posedness and self-similar solution of the inhomogeneous Navier-Stokes system
Tiantian Hao, Feng Shao, Dongyi Wei +2
In this paper, we study the global well-posedness of the 3-D inhomogeneous incompressible Navier-Stokes system (INS in short) with initial density being discontinuous and ini…
A new proof of nonlinear Landau damping for the 3D Vlasov-Poisson system near Poisson equilibrium
Quoc-Hung Nguyen, Dongyi Wei, Zhifei Zhang
This paper investigates nonlinear Landau damping in the 3D Vlasov-Poisson (VP) system. We study the asymptotic stability of the Poisson equilibrium …
Exponential mixing for random nonlinear wave equations: weak dissipation and localized control
Ziyu Liu, Dongyi Wei, Shengquan Xiang +2
We establish a new criterion for exponential mixing of random dynamical systems. Our criterion is applicable to a wide range of systems, including in particular dispersive equation…
Global well-posedness of inhomogeneous Navier-Stokes equations with bounded density
Tiantian Hao, Feng Shao, Dongyi Wei +1
In this paper, we solve Lions' open problem: {\it the uniqueness of weak solutions for the 2-D inhomogeneous Navier-Stokes equations (INS)}. We first prove the global existence of…
On the density patch problem for the 2-D inhomogeneous Navier-Stokes equations
Tiantian Hao, Feng Shao, Dongyi Wei +1
In this paper, we first construct a class of global strong solutions for the 2-D inhomogeneous Navier-Stokes equations under very general assumption that the initial density is onl…
On blow-up for the supercritical defocusing nonlinear wave equation
Feng Shao, Dongyi Wei, Zhifei Zhang
In this paper, we consider the defocusing nonlinear wave equation in . Building on our companion work ({\it \small Self-…