224 citations · 3.1k across the 103 of their papers we have counts for
7 papers · 2 filters
Global well-posedness for Schrödinger equation with derivative in
Changxing Miao, Yifei Wu, Guixiang Xu
In this paper, we consider the Cauchy problem of the cubic nonlinear Schrödinger equation with derivative in . This equation was known to be the local well-posedness for $…
On the global well-posedness of a class of Boussinesq- Navier-Stokes systems
Changxing Miao, Liutang Xue
In this paper we consider the following 2D Boussinesq-Navier-Stokes systems \partial_{t}u+u\cdot\nabla u+\nabla p+ |D|^αu &= θe_{2} \partial_{t}θ+u\cdot\nabla θ+ |D|^βθ&=0 \quad wi…
Global well-posedness for the 3D rotating Navier-Stokes equations with highly oscillating initial data
Qionglei Chen, Changxing Miao, Zhifei Zhang
In this paper, we prove the global well-posedness for the 3D rotating Navier-Stokes equations in the critical functional framework. Especially, this result allows to construct glob…
Global well-posedness for the compressible Navier-Stokes equations with the highly oscillating initial velocity
Qionglei Chen, Changxing Miao, Zhifei Zhang
Cannone \cite{Cannone} proved the global well-posedness of the incompressible Navier-Stokes equations for a class of highly oscillating data. In this paper, we prove the global wel…
The low regularity global solutions for the critical generalized KdV equation
Changxing Miao, Shuanglin Shao, Yifei Wu +1
We prove that the Cauchy problem of the mass-critical generalized KdV equation is globally well-posed in Sobolev spaces for . Of course, we require that the mass…
Scattering theory below energy for the cubic fourth-order Schrödinger equation
Changxing Miao, Haigen Wu, Junyong Zhang
We investigate the global existence and scattering for the cubic fourth-order Schrödinger equation in the low regularity space with . We provi…