224 citations · 3.1k across the 103 of their papers we have counts for
7 papers · 2 filters
Energy Scattering for a Klein-Gordon Equation with a Cubic Convolution
Changxing Miao, Jiqiang Zheng
In this paper, we study the global well-posedness and scattering problem in the energy space for both focusing and defocusing the Klein-Gordon-Hartree equation in the spatial dimen…
Existence theorem and blow-up criterion of strong solutions to the two-fluid MHD equation in
Qionglei Chen, Changxing Miao
We first give the local well-posedness of strong solutions to the Cauchy problem of the 3D two-fluid MHD equations, then study the blow-up criterion of the strong solutions. By mea…
Well-posedness of the Cauchy problem for the fractional power dissipative equations
Changxing Miao, Baoquan Yuan, Bo Zhang
This paper studies the Cauchy problem for the nonlinear fractional power dissipative equation for initial data in the Lebesgue space $L^r(\mr^n)$ with $…
On well-posedness of the Cauchy problem for MHD system in Besov spaces
Changxing Miao, Baoquan Yuan
This paper is devoted to the study of the Cauchy problem of incompressible magneto-hydrodynamics system in framework of Besov spaces. In the case of spatial dimension we e…
A new Bernstein's Inequality and the 2D Dissipative Quasi-Geostrophic Equation
Qionglei Chen, Changxing Miao, Zhifei Zhang
We show a new Bernstein's inequality which generalizes the results of Cannone-Planchon, Danchin and Lemarié-Rieusset. As an application of this inequality, we prove the global well…
Low Regularity Global Well-Posedness for the Klein-Gordon-Schrödinger System with the Higher Order Yukawa Coupling
Changxing Miao, Guixiang Xu
In this paper, we consider the Klein-Gordon-Schrödinger system with the higher order Yukawa coupling in , and prove the local and global wellposedness in $L^2\t…