55 citations · 126 across the 43 of their papers we have counts for
43 papers
High-order finite element method for perfect conductivity and linear elasticity with nearly touching inclusions
Buyang Li, Haigang Li, Yonglin Li +1
In perfect conductivity and linear elasticity problems, the electric field and stress always become highly concentrated within narrow regions between adjacent perfect (rigid) inclu…
Higher derivative estimates for Stokes equations with closely spaced rigid inclusions in three dimensions
Hongjie Dong, Haigang Li, Huaijun Teng +1
In this paper, we establish higher-order derivative estimates for the Stokes equations in a three-dimensional domain containing two closely spaced rigid inclusions. We construct a…
Optimal gradient estimates for conductivity problems with imperfect low-conductivity interfaces
Hongjie Dong, Haigang Li, Yan Zhao
This paper studies field concentration between two nearly touching conductors separated by imperfect low-conductivity interfaces, modeled by Robin boundary conditions. It is known…
Resonant frequencies distribution for multiple closely spaced subwavelength resonators
Haigang Li, Junhua Zhang
In this paper, we investigate a resonant system comprising closely packed spherical resonators (). We analyze how the spatial arrangement of these resonators influences th…
Optimal higher derivative estimates for Stokes equations with closely spaced rigid inclusions
Hongjie Dong, Haigang Li, Huaijun Teng +1
In this paper, we study the interaction between two closely spaced rigid inclusions suspended in a Stokes flow. It is well known that the stress significantly amplifies in the narr…
Stress concentration between two adjacent rigid particles in Navier-Stokes flow
Haigang Li, Peihao Zhang
In this paper we investigate the stress concentration problem that occurs when two convex rigid particles are closely immersed in a fluid flow. The governing equations for the flui…
Optimal higher derivative estimates for solutions of the Lamé system with closely spaced hard inclusions
Hongjie Dong, Haigang Li, Huaijun Teng +1
We investigate higher derivative estimates for the Lamé system with hard inclusions embedded in a bounded domain in . As the distance between two clos…
Optimal boundary gradient estimates for the insulated conductivity problem
Haigang Li, Yan Zhao
In this paper we study the boundary gradient estimate of the solution to the insulated conductivity problem with the Neumann boundary data when a convex insulating inclusion approa…
Higher order parabolic systems with piecewise DMO and Hölder continuous coefficients
Hongjie Dong, Haigang Li, Longjuan Xu
In this paper, we are concerned with divergence form, higher-order parabolic systems in a cylindrical domain with a finite number of subdomains. We establish and Schaude…
Optimal gradient estimates for the insulated conductivity problem with general convex inclusions case
Haigang Li, Yan Zhao
We study the insulated conductivity problem which involves two adjacent convex insulators embedded in a bounded domain. It is known that the gradient of solutions may blow up as th…
Estimates for stress concentration between two adjacent rigid inclusions in Stokes flow
Haigang Li, Longjuan Xu
In this paper, we establish the estimates for the gradient and the second-order partial derivatives for the Stokes flow in the presence of two closely located strictly convex inclu…
On higher regularity of Stokes systems with piecewise Hölder continuous coefficients
Hongjie Dong, Haigang Li, Longjuan Xu
In this paper, we consider higher regularity of a weak solution to stationary Stokes systems with variable coefficients. Under the assumptions that coefficients and d…
Stress blow-up analysis when suspending rigid particles approach boundary in 3D Stokes flow
Haigang Li, Longjuan Xu, Peihao Zhang
The stress concentration is a common phenomenon in the study of fluid-solid model. In this paper, we investigate the boundary gradient estimates and the second order derivatives es…
Stress blow-up analysis when a suspending rigid particle approaches the boundary in Stokes flow: 2D case
Haigang Li, Longjuan Xu, Peihao Zhang
It is an interesting and important topic to study the motion of small particles in a viscous liquid in current applied research. In this paper we assume the particles are convex wi…
The interaction between two close-to-touching convex acoustic subwavelength resonators
Haigang Li, Yan Zhao
The Minneart resonance is a low frequency resonance in which the wavelength is much larger than the size of the resonators. It is interesting to study the interaction between two a…
The Dirichlet problem for Hessian quotient equations on exterior domains
Tangyu Jiang, Haigang Li, Xiaoliang Li
In this paper, we consider the exterior Dirichlet problem for Hessian quotient equations with the right hand side , where is a positive function and near i…
Estimates for stress concentration between two adjacent rigid inclusions in two-dimensional Stokes flow
Haigang Li, Longjuan Xu
It is vital important in material sciences and fluid mechanics to study the field enhancements in the narrow region between two inclusions. Complex fluids including particle suspen…
Blow-up analysis of hydrodynamic forces exerted on two adjacent -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…
On the exterior Dirichlet problem for a class of fully nonlinear elliptic equations
Tangyu Jiang, Haigang Li, Xiaoliang Li
In this paper, we mainly establish the existence and uniqueness theorem for solutions of the exterior Dirichlet problem for a class of fully nonlinear second-order elliptic equatio…
Hessian quotient equations on exterior domains
Haigang Li, Xiaoliang Li, Shuyang Zhao
It is well-known that a celebrated Jörgens-Calabi-Pogorelov theorem for Monge-Ampère equations states that any classical (viscosity) convex solution of in $\mathbb{R…
Asymptotics for the electric field concentration in the perfect conductivity problem
Haigang Li
In the perfect conductivity problem of composite material, the electric field concentrates in a narrow region in between two inclusions and always becomes arbitrarily large when th…
Asymptotics of the stress concentration in high-contrast elastic composites
Haigang Li, Longjuan Xu
A long-standing area of materials science research has been the study of electrostatic, magnetic, and elastic fields in composite with densely packed inclusions whose material prop…
Boundary blow-up analysis of gradient estimates for Lamé systems in the presence of -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…
The Optimal Gradient Estimates for Perfect Conductivity Problem with C^{1,α} inclusions
Yu Chen, Haigang Li, Longjuan Xu
In high-contrast composite materials, the electric field concentration is a common phenomenon when two inclusions are close to touch. It is important from an engineering point of v…