23 citations · 32 across the 13 of their papers we have counts for
15 papers
Partial regularity of heat flow of fractional harmonic maps to spheres
Hengrong Du, Tao Huang, Armin Schikorra +1
In this paper, we introduce the notation of stationary heat flow of -harmonic maps from into the unit sphere , for $0<…
Global existence of weak solutions to a nematic electrolyte model in 2D
Hengrong Du, Fizay-Noah Lee, Gieri Simonett
In this paper, we study a system of partial differential equations modeling the dynamics of nematic electrolytes on a two-dimensional torus . The model couples the Po…
On nematic electrolytes
Hengrong Du, Fizay-Noah Lee, Gieri Simonett
We study a system of nonlinear partial differential equations modeling the electrokinetics of a nematic electrolyte material consisting of various ion species suspended in a nemati…
On a thermodynamically consistent model for magnetoviscoelastic fluids in 3D
Hengrong Du, Yuanzhen Shao, Gieri Simonett
We introduce a system of equations that models a non-isothermal magnetoviscoelastic fluid. We show that the model is thermodynamically consistent, and that the critical points of t…
Well-posedness for magnetoviscoelastic fluids in 3D
Hengrong Du, Yuanzhen Shao, Gieri Simonett
We show that the system of equations describing a magnetoviscoelastic fluid in three dimensions can be cast as a quasilinear parabolic system. Using the theory of maximal -reg…
Completed prismatic -crystals and crystalline -local systems
Heng Du, Tong Liu, Yong Suk Moon +1
We introduce the notion of completed -crystals on the absolute prismatic site of a smooth -adic formal scheme. We define a functor from the category of completed prismatic $F…
Stability of Self-similar Solutions to Geometric Flows
Hengrong Du, Nung Kwan Yip
We show that self-similar solutions for the mean curvature flow, surface diffusion and Willmore flow of entire graphs are stable upon perturbations of initial data with small Lipsc…
A prismatic approach to -modules and -crystals
Heng Du, Tong Liu
We give a new construction of -modules using the theory of prisms developed by Bhatt and Scholze. As an application, we give a new proof about the equivalence between…
Global weak solutions to the Stochastic Ericksen--Leslie equations in dimension two
Hengrong Du, Changyou Wang
We establish the global existence of weak martingale solutions to the simplified stochastic Ericksen--Leslie system modeling the nematic liquid crystal flow driven by Wiener-type n…
Compactness of -uniform domains and optimal thermal insulation problems
Hengrong Du, Qinfeng Li, Changyou Wang
In this paper, we will consider an optimal shape problem of heat insulation introduced by Bucur-Buttazzo-Nitsch. We will establish the existence of optimal shapes in the class of $…
Partial regularity of a nematic liquid crystal model with kinematic transport effects
Hengrong Du, Changyou Wang
In this paper, we will establish the global existence of a suitable weak solution to the Erickson--Leslie system modeling hydrodynamics of nematic liquid crystal flows with kinemat…
Weak compactness of simplified nematic liquid flows in 2D
Hengrong Du, Tao Huang, Changyou Wang
For any bounded, smooth domain , %(or ), we will establish the weak compactness property of solutions to the simplified Ericksen-Leslie system for both uniax…
has uncountable Krull dimension
Heng Du
Let be a complete discrete valuation ring and be a perfect ring in characteristic , we also assume is a complete valuation ring whose valuation group is…
Weak solutions of non-isothermal nematic liquid crystal flow in dimension three
Hengrong Du, Yimei Li, Changyou Wang
For any smooth domain , we establish the existence of a global weak solution to the simplified, non-isothermal Ericksen-Leslie s…
Suitable weak solutions for the co-rotational Beris-Edwards system in dimension three
Hengrong Du, Xianpeng Hu, Changyou Wang
In this paper, we establish the global existence of a suitable weak solution to the co-rotational Beris-Edwards -tensor system modeling the hydrodynamic motion of nematic liquid…