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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.AP2021
Generalized solutions to a chemotaxis-Navier-Stokes system with arbitrary superlinear degradation
Mengyao Ding, Johannes Lankeit
In this work, we study a chemotaxis-Navier-Stokes model in a two-dimensional setting as below, \begin{eqnarray} \left\{ \begin{array}{llll} \displaystyle n_{t}+\mathbf{u}\cdot\nabl…
math.AP2018
Global existence, boundedness and asymptotic behavior to a logistic chemotaxis model with density-signal governed sensitivity and signal absorption
Mengyao Ding, Xiangdong Zhao
In present paper, we consider a chemotaxis consumption system with density-signal governed sensitivity and logistic source: , $v…