6 citations · 7 across the 5 of their papers we have counts for
5 papers
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…
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…
Local behaviour of the mixed local and nonlocal problems with nonstandard growth
Mengyao Ding, Yuzhou Fang, Chao Zhang
We consider the mixed local and nonlocal functionals with nonstandard growth \begin{eqnarray*} u\mapsto\int_Ω(|Du|^p-f(x)u)\,dx+\int_{\mathbb{R}^N}\int_{\mathbb{R}^N}\frac{|u(x)-u(…
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…
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…