4 papers
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…