3 papers
math.AP2025
Higher derivative estimates for Stokes equations with closely spaced rigid inclusions in three dimensions
Hongjie Dong, Haigang Li, Huaijun Teng +1
In this paper, we establish higher-order derivative estimates for the Stokes equations in a three-dimensional domain containing two closely spaced rigid inclusions. We construct a…
math.AP2024
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…
math.AP2024
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 clo…