activity
20062026
most citedWell-posedness of the Cauchy problem for the fractional power dissipative equations

224 citations · 3.1k across the 103 of their papers we have counts for

collaborators

106 papers

math.AP2026

Forward self-similar solutions of the Navier-Stokes equations in R^n

Baishun Lai, Changxing Miao, Xiaoxin Zheng

We investigate forward self-similar solutions to the incompressible Navier--Stokes equations with homogeneous initial data , , focusing on the…

math.AP2026

Global well-posedness and scattering for the defocusing nonlinear Schrödinger equation below energy space

Zuyu Ma, Changxing Miao, Yilin Song +1

In this paper, we prove global well-posedness and scattering below the energy space for the defocusing nonlinear Schrödinger equation with intercritical power nonlinearities in spa…

math.AP2026

Rough log-log blowup solutions to mass-critical NLS in higher dimensions

Zuyu Ma, Changxing Miao, Yilin Song +1

We study the stability of the log--log blow-up regime for the focusing mass-critical nonlinear Schrödinger equation under small perturbations. Previously, stability was estab…

math.AP2026

Global well-posedness and scattering for mass-critical Hartree equation

Zuyu Ma, Changxing Miao, Matthew Rosenzweig +1

In this paper, we prove that the defocusing mass-critical Hartree equation is global well-posed and scatters for any initial data , and prove the analogous result in th…

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 an…

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 …