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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.AP2025
Optimal gradient estimates for conductivity problems with imperfect low-conductivity interfaces
Hongjie Dong, Haigang Li, Yan Zhao
This paper studies field concentration between two nearly touching conductors separated by imperfect low-conductivity interfaces, modeled by Robin boundary conditions. It is known…
math.AP2025
Resonant frequencies distribution for multiple closely spaced subwavelength resonators
Haigang Li, Junhua Zhang
In this paper, we investigate a resonant system comprising closely packed spherical resonators (). We analyze how the spatial arrangement of these resonators influences th…