55 citations · 126 across the 43 of their papers we have counts for
6 papers · 2 filters
Lower bounds of gradient's blow-up for the Lamé system with partially infinite coefficients
Haigang Li
In composite material, the stress may be arbitrarily large in the narrow region between two close-to-touching hard inclusions. The stress is represented by the gradient of a soluti…
Asymptotics of the gradient of solutions to the perfect conductivity problem
HaiGang Li, YanYan Li, ZhuoLun Yang
In the perfect conductivity problem of composite material, the gradient of solutions can be arbitrarily large when two inclusions are located very close. To characterize the singul…
Characterization of Electric Fields for Perfect Conductivity Problems in 3D
Haigang Li, Fang Wang, Longjuan Xu
In composite materials, the inclusions are frequently spaced very closely. The electric field concentrated in the narrow regions between two adjacent perfectly conducting inclusion…
Estimates for Elliptic Systems in a Narrow Region arising from Composite Materials
Hongjie Ju, Haigang Li, Longjuan Xu
In this paper, we establish the pointwise upper and lower bounds of the gradients of solutions to a class of elliptic systems, including linear systems of elasticity, in a general…
The convexity of inclusions and gradient's concentration for Lamé systems with partially infinite coefficients
Yuanyuan Hou, Hongjie Ju, Haigang Li
It is interesting to study the stress concentration between two adjacent stiff inclusions in composite materials, which can be modeled by the Lamé system with partially infinite co…
Blowup Analysis for the Perfect Conductivity Problem with convex but not strictly convex inclusions
Hongjie Ju, Haigang Li, Longjuan Xu
In the perfect conductivity problem, it is interesting to study whether the electric field can become arbitrarily large or not, in a narrow region between two adjacent perfectly co…