2 citations · 5 across the 16 of their papers we have counts for
18 papers
Stress concentration for nonlinear insulated conductivity problem with adjacent inclusions
Qionglei Chen, Zhiwen Zhao
A high-contrast two-phase nonlinear composite material with adjacent inclusions of -convex shapes is considered for . The mathematical formulation consists of the insulated…
Regularity and stability for solutions to elliptic equations and systems arising from high-contrast composites
Zhiwen Zhao
The main objective of this paper is to study the regularity and stability for solutions to the conductivity problems with degenerate coefficients in the presence of two rigid condu…
Local regularity for nonlinear elliptic and parabolic equations with anisotropic weights
Changxing Miao, Zhiwen Zhao
The main purpose of this paper is to capture the asymptotic behavior for solutions to a class of nonlinear elliptic and parabolic equations with the anisotropic weights consisting…
Exact solutions for the insulated and perfect conductivity problems with concentric balls
Zhiwen Zhao
The insulated and perfect conductivity problems arising from high-contrast composite materials are considered in all dimensions. The solution and its gradient, respectively, repres…
Asymptotic analysis for hydrodynamic force acting on stiff particles
Zhiwen Zhao
A three-dimensional mathematical model of a viscous incompressible fluid with two stiff particles is investigated in the near-contact regime. When one of the particles approaches t…
Gradient estimates for the insulated conductivity problem: the case of -convex inclusions
Zhiwen Zhao
We consider an insulated conductivity model with two neighboring inclusions of -convex shapes in when and . We establish the pointwise gradient…