4 citations · 8 across the 14 of their papers we have counts for
17 papers
On blow-up for the supercritical defocusing nonlinear scalar wave equation
Feng Shao, Dongyi Wei, Zhifei Zhang
We study finite-time singularity formation for the scalar defocusing nonlinear wave equation . First, for fixed and odd , we establish a con…
Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in
Ruilin Hu, Quoc-Hung Nguyen, Feng Shao +3
In this paper, we establish local existence of strong solutions for the three-dimensional inhomogeneous incompressible Navier-Stokes equations with initial data lying i…
Self-similar blow-up solutions of -dimensional incompressible Euler equations with velocity
Feng Shao, Dongyi Wei, Ping Zhang +1
We investigate self-similar blow-up solutions to the -dimensional axisymmetric incompressible Euler equations without swirl for . For any with …
Anderson localization and Hölder continuity of the integrated density of states for analytic quasiperiodic Schrödinger operators
Hongyi Cao, Yunfeng Shi, Zhifei Zhang
We establish both Anderson localization and Hölder continuity of the integrated density of states for quasiperiodic Schrödinger operators on with any non-constant an…
Asymptotic stability of the Kolmogorov flow at high Reynolds numbers
Qi Chen, Hao Jia, Dongyi Wei +1
In this paper we prove the asymptotic stability of the Kolmogorov flow on a non-square torus for perturbations satisfying , where is the vi…
Self-similar algebraic spiral vortex sheets of 2-D incompressible Euler equations
Feng Shao, Dongyi Wei, Zhifei Zhang
This paper provides the first rigorous construction of the self-similar algebraic spiral vortex sheet solutions to the 2-D incompressible Euler equations. These solutions are belie…
Blow-up of the 3-D compressible Navier-Stokes equations for monatomic gases
Feng Shao, Dongyi Wei, Shumao Wang +1
In this paper, we prove the blow-up of the -D isentropic compressible Navier-Stokes equations for the adiabatic exponent , which corresponds to the law of monatomic gases…
Tollmien-Schlichting waves near neutral stable curve
Qi Chen, Di Wu, Zhifei Zhang
In this paper, we study the linear stability of boundary layer flows over a flat plate. Tollmien, Schlichting, Lin et al. found that there exists a neutral curve, which consists of…
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-…
Self-similar imploding solutions of the relativistic Euler equations
Feng Shao, Dongyi Wei, Zhifei Zhang
Motivated by recent breakthrough on smooth imploding solutions of compressible Euler, we construct self-similar smooth imploding solutions of isentropic relativistic Euler equation…
Nonlinear stability for 3-D plane Poiseuille flow in a finite channel
Qi Chen, Shijin Ding, Zhilin Lin +1
In this paper, we study the nonlinear stability for the 3-D plane Poiseuille flow at high Reynolds number in a finite channel $\mathbb{T}\times [-1,1 ]\times \ma…
Transition threshold for the 2-D Couette flow in a finite channel
Qi Chen, Te Li, Dongyi Wei +1
In this paper, we study the transition threshold problem for the 2-D Navier-Stokes equations around the Couette flow at large Reynolds number in a finite channel. We d…