6 papers
High-order finite element method for perfect conductivity and linear elasticity with nearly touching inclusions
Buyang Li, Haigang Li, Yonglin Li +1
In perfect conductivity and linear elasticity problems, the electric field and stress always become highly concentrated within narrow regions between adjacent perfect (rigid) inclu…
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…
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…
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 clo…