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20112026
most citedGradient estimates for solutions of the Lamé system with partially infinite coefficients

55 citations · 126 across the 43 of their papers we have counts for

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5 papers · 1 filter

math.AP2023★ 1 cited

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…

math.AP2023

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…

math.AP2023

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…

math.AP2023

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…

math.AP2023

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…