224 citations · 3.1k across the 103 of their papers we have counts for
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The 2D incompressible Boussinesq equations with general critical dissipation
Quansen Jiu, Changxing Miao, Jiahong Wu +1
This paper aims at the global regularity problem concerning the 2D incompressible Boussinesq equations with general critical dissipation. The critical dissipation refers to …
Scattering theory for the defocusing fourth-order Schrödinger equation
Changxing Miao, Jiqiang Zheng
In this paper, we study the global well-posedness and scattering theory for the defocusing fourth-order nonlinear Schrödinger equation (FNLS) in dimension $d\…
Scattering theory for energy-supercritical Klein-Gordon equation
Changxing Miao, Jiqiang Zheng
In this paper, we consider the question of the global well-posedness and scattering for the cubic Klein-Gordon equation in dimension . We show that i…
On the well-posedness of a 2D nonlinear and nonlocal system arising from the dislocation dynamics
Dong Li, Changxing Miao, Liutang Xue
In this paper we consider a 2D nonlinear and nonlocal model describing the dynamics of the dislocation densities. We prove the local well-posedness of strong solution to this syste…
The Defocusing Energy-Critical Wave Equation with a Cubic Convolution
Changxing Miao, Junyong Zhang, Jiqiang Zheng
In this paper, we study the theory of the global well-posedness and scattering for the energy-critical wave equation with a cubic convolution nonlinearity $u_{tt}-Δu+(|x|^{-4}\ast|…
On the global well-posedness for the Boussinesq system with horizontal dissipation
Changxing Miao, Xiaoxin Zheng
In this paper, we investigate the Cauchy problem for the tridimensional Boussinesq equations with horizontal dissipation. Under the assumption that the initial data is an axisymmet…