3 citations · 8 across the 12 of their papers we have counts for
13 papers
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…
Couette Taylor instabilities for counter-rotating cylinders in the small-gap regime
Dongfen Bian, Emmanuel Grenier, Gérard Iooss +1
We study the Couette Taylor instabilities for an incompressible viscous fluid between two coaxial cylinders of nearly equal radii, allowing counter-rotation with the ratio of rotat…
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…
Saint-Venant Estimates and Liouville-Type Theorems for the Stationary Navier-Stokes Equation in
Jeaheang Bang, Zhuolun Yang
We prove two Liouville type theorems for the stationary Navier-Stokes equations in under some assumptions on 1) the growth of the mean oscillation of a potenti…
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|…
The insulated conductivity problem with -Laplacian
Hongjie Dong, Zhuolun Yang, Hanye Zhu
We study the insulated conductivity problem with closely spaced insulators embedded in a homogeneous matrix where the current-electric field relation is the power law $J = |E|^{p-2…
Optimal estimates for transmission problems including relative conductivities with different signs
Hongjie Dong, Zhuolun Yang
We study the gradient and higher order derivative estimates for the transmission problem in the presence of closely located inclusions. We show that in two dimensions, when relativ…
Gradient estimates for the insulated conductivity problem: the non-umbilical case
Hongjie Dong, Yanyan Li, Zhuolun Yang
We study the insulated conductivity problem with inclusions embedded in a bounded domain in , for . The gradient of solutions may blow up as , th…
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…
Regular solutions of the stationary Navier-Stokes equations on high dimensional Euclidean space
YanYan Li, Zhuolun Yang
We study the existence of regular solutions of the incompressible stationary Navier-Stokes equations in -dimensional Euclidean space with a given bounded external force of compa…
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…