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math.AP2025
Partial regularity of suitable weak solutions to the incompressible magnetohydrodynamic equations
Mengyao Ding, Wenwen Huo, Chao Zhang
This paper establishes a regularity theory for the magnetohydrodynamics (MHD) equations with external forces through scaling analysis. Inspired by the existing methodology, we util…
math.AP2024
Quantitative analysis and its applications for Keller-Segel type systems
Mengyao Ding, Yuzhou Fang, Chao Zhang
In this paper, we utilize the De Giorgi iteration to quantitatively analyze the upper bound of solutions for Keller-Segel type systems. The refined upper bound estimate presented h…