15 citations · 15 across the 4 of their papers we have counts for
4 papers
Normalized solutions to mixed dispersion nonlinear Schrödinger system with coupled nonlinearity
Zhen-Feng Jin, Guotao Wang, Weimin Zhang
In this paper, we consider the existence of normalized solutions for the following biharmonic nonlinear Schrödinger system \begin{equation*} \begin{cases} Δ^2u+α_{1}Δu+λu=βr_{1}|u|…
Normalized solutions for nonlinear Schrödinger equation involving potential and Sobolev critical exponent
Zhen-Feng Jin, Weimin Zhang
In this paper, we consider the existence of positive solutions with prescribed -norm for the following nonlinear Schrödinger equation involving potential and Sobolev critical…
Formation of finite-time singularities for nonlinear elastodynamics with small initial disturbances
Zhentao Jin, Yi Zhou
This article concerns the formation of finite-time singularities in solutions to quasilinear hyperbolic systems with small initial data. By constructing a special test function, we…
Finite time blow up for a model of incompressible Navier-Stokes Equations
Zhentao Jin, Yi Zhou
T. Tao constructed an averaged Navier-Stokes equations which obey an energy identity. Nevertheless, he proved that smooth solutions can blow up in finite time. This demonstrates th…