1 citations · 1 across the 6 of their papers we have counts for
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Resonant modes of two hard inclusions within a soft elastic material and their stress estimate
Hongjie Li, Longjuan Xu
In this paper, we are concerned with subwavelength resonant modes of two hard inclusions embedding in soft elastic materials to realize negative materials in elasticity. All the $1…
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…
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…