2 papers
math.AP2026
Leray--Hopf Type Weak Solutions for the Three-Dimensional Beris--Edwards System with Stable Landau--de Gennes Potential
Yao Zhang, Han Ni Soe, Zhipeng Xu
We prove existence of a weak solution to the three-dimensional Beris--Edwards system in the whole space under the stable bulk assumption . The solution satisfies the natural b…
math.AP2025
Global Calderón-Zygmund estimates for asymptotically convex fully nonlinear Grad-Mercier type equations
Yao Zhang, Xiaofeng Jin, Lingwei Ma +1
In this paper, we consider the following Dirichlet problem for the fully nonlinear elliptic equation of Grad-Mercier type under asymptotic convexity conditions \begin{equation*} \l…