Zhiwen Zhao

activity

20192023

most citedSingular analysis of the stress concentration in the narrow regions between the inclusions and the matrix boundary

3 citations · 10 across the 18 of their papers we have counts for

collaborators

18 papers

math.AP2023

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 $m$ -convex shapes is considered for $m > 2$ . The mathematical formulation consists of the insulated…

math.AP2023

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…

math.AP2022

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…

math.AP2022

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…

math.AP2022

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…

math.AP2022★ 2 cited

Gradient estimates for the insulated conductivity problem: the case of $m$ -convex inclusions

Zhiwen Zhao

We consider an insulated conductivity model with two neighboring inclusions of $m$ -convex shapes in $R^{d}$ when $m \geq 2$ and $d \geq 3$ . We establish the pointwise gradient…

math.AP2022

Stress concentration factors for the Stokes flow with two nearly touching rigid particles

Zhiwen Zhao

In this paper, a mathematical model of two adjacent rigid particles immersed into a viscous incompressible fluid is considered. The main feature of the flow is that the Cauchy stre…

math.AP2022

Asymptotic analysis for elliptic systems in a narrow region

Zhiwen Zhao

This paper is concerned with investigating the asymptotic behavior of the gradients of solutions to a class of elliptic systems with general boundary data, especially covering the…

math.AP2022

Gradient estimates for the insulated conductivity problem with inclusions of the general $m$ -convex shapes

Zhiwen Zhao

In this paper, the insulated conductivity model with two touching or close-to-touching inclusions is considered in $R^{d}$ with $d \geq 3$ . We establish the pointwise upper…

math.AP2022

Convergence for the fractional $p$ -Laplacian and its corresponding extended Nirenberg problem

Zhiwen Zhao

The main objective of this paper is to establish the convergence for the fractional $p$ -Laplacian of nonnegative sequence of functions with $p > 2$ . Further, we show the blow-up phen…

math.AP2021

Asymptotic analysis of the stress concentration between two adjacent stiff inclusions in all dimensions

Zhiwen Zhao, Xia Hao

In the region between two closely located stiff inclusions, the stress, which is the gradient of a solution to the Lamé system with partially infinite coefficients, may become arbi…

math.AP2021

Gradient asymptotics of solutions to the Lamé systems in the presence of two nearly touching $C^{1, γ}$ -inclusions in all dimensions

Xia Hao, Zhiwen Zhao

In this paper, we establish the asymptotic expressions for the gradient of a solution to the Lamé systems with partially infinity coefficients as two rigid $C^{1, γ}$ -inclusions are…

math.AP2021

Singularities of the stress concentration in the presence of $C^{1, α}$ -inclusions with core-shell geometry

Zhiwen Zhao, Xia Hao

In high-contrast composites, if an inclusion is in close proximity to the matrix boundary, then the stress, which is represented by the gradient of a solution to the Lamé systems o…

math.AP2021★ 3 cited

Singular analysis of the stress concentration in the narrow regions between the inclusions and the matrix boundary

Changxing Miao, Zhiwen Zhao

We consider the Lamé system arising from high-contrast composite materials whose inclusions (fibers) are nearly touching the matrix boundary. The stress, which is the gradient of t…

math.AP2021★ 2 cited

Stress concentration factors for the Lamé system arising from composites

Changxing Miao, Zhiwen Zhao

For two neighbouring stiff inclusions, the stress, which is the gradient of a solution to the Lamé system of linear elasticity, may exhibit singular behavior as the distance betwee…

math.AP2020

Blow-up analysis of hydrodynamic forces exerted on two adjacent $M$ -convex particles

Haigang Li, Xueting Wang, Zhiwen Zhao

In a viscous incompressible fluid, the hydrodynamic forces acting on two close-to-touch rigid particles in relative motion always become arbitrarily large, as the interparticle dis…

math.AP2020★ 1 cited

Asymptotics for the electric field when $M$ -convex inclusions are close to the matrix boundary

Zhiwen Zhao

In the perfect conductivity problem of composites, the electric field may become arbitrarily large as $ε$ , the distance between the inclusions and the matrix boundary, te…

math.AP2019★ 2 cited

Boundary blow-up analysis of gradient estimates for Lamé systems in the presence of $M$ -convex hard inclusions

Haigang Li, Zhiwen Zhao

In high-contrast elastic composites, it is vitally important to investigate the stress concentration from an engineering point of view. The purpose of this paper is to show that th…

Stress concentration for nonlinear insulated conductivity problem with adjacent inclusions

Regularity and stability for solutions to elliptic equations and systems arising from high-contrast composites

Local regularity for nonlinear elliptic and parabolic equations with anisotropic weights

Exact solutions for the insulated and perfect conductivity problems with concentric balls

Asymptotic analysis for hydrodynamic force acting on stiff particles

Gradient estimates for the insulated conductivity problem: the case of m-convex inclusions

Stress concentration factors for the Stokes flow with two nearly touching rigid particles

Asymptotic analysis for elliptic systems in a narrow region

Gradient estimates for the insulated conductivity problem with inclusions of the general m-convex shapes

Convergence for the fractional p-Laplacian and its corresponding extended Nirenberg problem

Asymptotic analysis of the stress concentration between two adjacent stiff inclusions in all dimensions

Gradient asymptotics of solutions to the Lamé systems in the presence of two nearly touching C1,γ-inclusions in all dimensions

Singularities of the stress concentration in the presence of C1,α-inclusions with core-shell geometry

Singular analysis of the stress concentration in the narrow regions between the inclusions and the matrix boundary

Stress concentration factors for the Lamé system arising from composites

Blow-up analysis of hydrodynamic forces exerted on two adjacent M-convex particles

Asymptotics for the electric field when M-convex inclusions are close to the matrix boundary

Boundary blow-up analysis of gradient estimates for Lamé systems in the presence of M-convex hard inclusions

Gradient estimates for the insulated conductivity problem: the case of $m$ -convex inclusions

Gradient estimates for the insulated conductivity problem with inclusions of the general $m$ -convex shapes

Convergence for the fractional $p$ -Laplacian and its corresponding extended Nirenberg problem

Gradient asymptotics of solutions to the Lamé systems in the presence of two nearly touching $C^{1, γ}$ -inclusions in all dimensions

Singularities of the stress concentration in the presence of $C^{1, α}$ -inclusions with core-shell geometry

Blow-up analysis of hydrodynamic forces exerted on two adjacent $M$ -convex particles

Asymptotics for the electric field when $M$ -convex inclusions are close to the matrix boundary

Boundary blow-up analysis of gradient estimates for Lamé systems in the presence of $M$ -convex hard inclusions