Asymptotics of the Gradient of Solutions to the Perfect Conductivity Problem
Haigang Li, Yanyan Li, Zhuolun Yang · Multiscale Modeling and Simulation · 2019
In the perfect conductivity problem of composite material, the gradient of solutions can be arbitrarily large when two inclusions are located very close to each other. To characterize the singular behavior of the gradient in the narrow region between two inclusions, we capture the leading term of the gradient and give a fairly sharp description of such asymptotics.