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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

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Showing 2022 · math.APShow all

5 papers · 2 filters

math.AP2022

Local regularity for nonlinear elliptic and parabolic equations with anisotropic weights

Changxing Miao, Zhiwen Zhao

The main purpose of this paper is to capture the asymptotic behavior for solutions to a class of nonlinear elliptic and parabolic equations with the anisotropic weights consisting…

math.AP2022

Global regularity and decay behavior for Leray equations with critical-dissipation and Its Application to Self-similar Solutions

Changxing Miao, Xiaoxin Zheng

In this paper, we show the global regularity and the optimal decay of weak solutions to the generalized Leray problem with critical dissipation. Our method is based on the maximal…

math.AP2022★ 12 cited

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.AP2022

Construction of solutions to the 3D Euler equations with initial data in for

Calvin Khor, Changxing Miao

In this paper, we use the method of convex integration to construct infinitely many distributional solutions in for to the initial value problem for the three-dimen…

math.AP2022

Soliton resolution for the energy critical wave equation with inverse-square potential in the radial case

Xuanying Li, Changxing Miao, Lifeng Zhao

In this paper, we establish the soliton resolution for the energy critical wave equation with inverse square potential in the radial case and in all dimensions . The struct…