110 citations · 469 across the 45 of their papers we have counts for
50 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…
Critical mass threshold for the 2D Patlak-Keller-Segel-Navier-Stokes system
Wendong Wang, Dongyi Wei, Zhifei Zhang
In this paper, we investigate critical mass threshold for the Patlak-Keller-Segel-Navier-Stokes system on the two-dimensional whole space and obtain global existence of strong solu…
Transition threshold for the Navier-Stokes-Coriolis system at high Reynolds numbers
Minling Li, Changzhen Sun, Chao Wang +2
The transition mechanism from laminar flow to turbulent flow is a central problem in hydrodynamic stability theory. To shed light on this transition mechanism, Trefethen et al.({\i…
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…