224 citations · 3.1k across the 103 of their papers we have counts for
7 papers · 2 filters
On the 4D Nonlinear Schrödinger equation with combined terms under the energy threshold
Changxing Miao, Tengfei Zhang, Jiqiang Zheng
In this paper, we consider the longtime dynamics of the solutions to focusing energy-critical Schrödinger equation with a defocusing energy-subcritical perturbation term under a gr…
Dynamics of nonlinear wave equations
Changxing Miao, Jiqiang Zheng
In this lecture, we will survey the study of dynamics of the nonlinear wave equation in recent years. We refer to some lecture notes including such as C. Kenig \cite{Kenig01,Kenig0…
Forward self-similar solutions of the fractional Navier-Stokes Equations
Baishun Lai, Changxing Miao, Xiaoxin Zheng
We study forward self-similar solutions to the 3-D Navier-Stokes equations with the fractional diffusion First, we construct a global-time forward self-similar solutions…
The interctitical defocusing nonlinear Schrödinger equations with radial initial data in dimensions four and higher
Chuanwei Gao, Changxing Miao, Jianwei Yang
In this paper, we consider the defocusing nonlinear Schrödinger equation in space dimensions . We prove that if is a radial solution which is \emph{priori} bounded in…
Solitary waves for nonlinear Schrödinger equation with derivative
Changxing Miao, Xingdong Tang, Guixiang Xu
In this paper, we characterize a family of solitary waves for NLS with derivative (DNLS) by the structue analysis and the variational argument. Since (DNLS) doesn't enjoy the Galil…
Stability of the traveling waves for the derivative Schrödinger equation in the energy space
Changxing Miao, Xingdong Tang, Guixiang Xu
In this paper, we continue the study of the dynamics of the traveling waves for nonlinear Schrödinger equation with derivative (DNLS) in the energy space. Under some technical assu…