collaborators

5 papers

math.AP2025

Dynamics of subcritical threshold solutions for the 4d energy-critical NLS

Zuyu Ma, Changxing Miao, Jason Murphy +1

We study dynamics of the 4 energy-critical nonlinear Schrödinger equation at the ground state energy. Previously, Duyckaerts and Merle [Geom. Funct. Anal. (2009)] proved that a…

math.AP2024

Global well-posedness and scattering for mass-critical inhomogeneous NLS when

Xuan Liu, Changxing Miao, Jiqiang Zheng

We prove global well-posedness and scattering for solutions to the mass-critical inhomogeneous nonlinear Schrödinger equation $i\partial_{t}u+Δu=\pm |x|^{-b}|u|^{\frac{4-2b}{d}}u…

math.AP2024

On the weak solutions for the MHD systems with controllable total energy and cross helicity

Changxing Miao, Weikui Ye

In this paper, we prove the non-uniqueness of three-dimensional magneto-hydrodynamic (MHD) system in for any initial data in

math.AP2024

Scattering theory for subcritical wave equation with inverse square potential

Changxing Miao, Ruipeng Shen, Tengfei Zhao

We consider the scattering theory for the defocusing energy subcritical wave equations with an inverse square potential. By employing the energy flux method we establish energy flu…

math.AP2024

Square function inequality for oscillatory integral operators satisfying homogeneous Carleson-Sjölin type conditions

Chuanwei Gao, Changxing Miao, Jianwei-Urbain Yang

In this paper, we establish an improved variable coefficient version of square function inequality, by which the local smoothing estimate for the Fourier in…