46 citations · 71 across the 7 of their papers we have counts for
8 papers · 1 filter
The nonlinear Schrödinger equations with combined nonlinearities of power-type and Hartree
Daoyuan Fang, Zheng Han
This paper is devoted to a comprehensive study of the nonlinear Schrödinger equations with combined nonlinearities of the power-type and Hartree-type in any dimension n\ge3. With s…
A note on spherically symmetric isentropic compressible flows with density-dependent viscosity coefficients
Ting Zhang, Daoyuan Fang
In this note, by constructing suitable approximate solutions, we prove the existence of global weak solutions to the compressible Navier-Stokes equations with density-dependent vis…
Local Existence for Nonlinear Wave Equation with Radial Data in 2+1 Dimensions
Chengbo Wang, Daoyuan Fang
We get a local existence result in with for second order quasilinear wave equation with radial initial data in 2+1 dimensions, based on an improvement of Strichartz e…
Global Behavior of Spherically Symmetric Navier-Stokes Equations with Degenerate Viscosity Coefficients
Mingjun Wei, Ting Zhang, Daoyuan Fang
In this paper, we study a free boundary problem for compressible spherically symmetric Navier-Stokes equations with a gravitational force and degenerate viscosity coefficients. Und…
L^2-concentration phenomenon for Zakharov system below energy norm
Daoyuan Fang, Sijia Zhong
In this paper, we'll prove a L^2-concentration result of Zakharov system in space dimension two, with radial initial data (u_0,n_0,n_1)\in H^s\times L^2\times H^{-1} ({16/17}<s<1),…
Existence and uniqueness results for viscous, heat-conducting 3-D fluid with vacuum
Ting Zhang, Daoyuan Fang
We consider the 3-D full Navier-Stokes equations whose the viscosity coefficients and the thermal conductivity coefficient depend on the density and the temperature. We prove the l…