3 citations · 3 across the 5 of their papers we have counts for
6 papers · 1 filter
The conductivity problem with imperfect bonding interfaces and finite internal conductivities
Hongjie Dong, Zhuolun Yang, Hanye Zhu
We study the field concentration phenomenon between two closely spaced inclusions with imperfect bonding interfaces of low conductivity type. The inclusions are assumed to have fin…
Recent developments on elliptic equations from composites
Hongjie Dong, Zhuolun Yang
When inclusions in a composite are separated by a very small gap, high contrast between the inclusion and matrix properties can induce strong amplification of the underlying field…
Gradient estimates for the insulated conductivity problem with partially flat inclusions
Hongjie Dong, Zhuolun Yang, Hanye Zhu
We study the insulated conductivity problem with inclusions embedded in a bounded domain in . It was known that in the setting of strictly convex inclusions, the grad…
Gradient estimates for the conductivity problem with imperfect bonding interfaces
Hongjie Dong, Zhuolun Yang, Hanye Zhu
We study the field concentration phenomenon between two closely spaced perfect conductors with imperfect bonding interfaces of low conductivity type. The boundary condition on thes…
Asymptotics of the solution to the perfect conductivity problem with -Laplacian
Hongjie Dong, Zhuolun Yang, Hanye Zhu
We study the perfect conductivity problem with closely spaced perfect conductors embedded in a homogeneous matrix where the current-electric field relation is the power law $J=σ|E|…
Optimal gradient estimates of solutions to the insulated conductivity problem in dimension greater than two
Hongjie Dong, YanYan Li, Zhuolun Yang
We study the insulated conductivity problem with inclusions embedded in a bounded domain in . The gradient of solutions may blow up as , the distance bet…