55 citations · 126 across the 43 of their papers we have counts for
6 papers · 1 filter
Optimal higher derivative estimates for Stokes equations with closely spaced rigid inclusions
Hongjie Dong, Haigang Li, Huaijun Teng +1
In this paper, we study the interaction between two closely spaced rigid inclusions suspended in a Stokes flow. It is well known that the stress significantly amplifies in the narr…
Stress concentration between two adjacent rigid particles in Navier-Stokes flow
Haigang Li, Peihao Zhang
In this paper we investigate the stress concentration problem that occurs when two convex rigid particles are closely immersed in a fluid flow. The governing equations for the flui…
Optimal higher derivative estimates for solutions of the Lamé system with closely spaced hard inclusions
Hongjie Dong, Haigang Li, Huaijun Teng +1
We investigate higher derivative estimates for the Lamé system with hard inclusions embedded in a bounded domain in . As the distance between two clos…
Optimal boundary gradient estimates for the insulated conductivity problem
Haigang Li, Yan Zhao
In this paper we study the boundary gradient estimate of the solution to the insulated conductivity problem with the Neumann boundary data when a convex insulating inclusion approa…
Higher order parabolic systems with piecewise DMO and Hölder continuous coefficients
Hongjie Dong, Haigang Li, Longjuan Xu
In this paper, we are concerned with divergence form, higher-order parabolic systems in a cylindrical domain with a finite number of subdomains. We establish and Schaude…
Optimal gradient estimates for the insulated conductivity problem with general convex inclusions case
Haigang Li, Yan Zhao
We study the insulated conductivity problem which involves two adjacent convex insulators embedded in a bounded domain. It is known that the gradient of solutions may blow up as th…