4 citations · 7 across the 8 of their papers we have counts for
10 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 …
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…
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…
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…