5 papers
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…
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+Îu=\pm |x|^{-b}|u|^{\frac{4-2b}{d}}u…
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 …
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…
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…