1 citations · 2 across the 5 of their papers we have counts for
10 papers
Gradient estimates for Stokes and Navier-Stokes systems with piecewise DMO coefficients
Jongkeun Choi, Hongjie Dong, Longjuan Xu
We study stationary Stokes systems in divergence form with piecewise Dini mean oscillation coefficients and data in a bounded domain containing a finite number of subdomains with $…
Gradient estimates for divergence form parabolic systems
Hongjie Dong, Longjuan Xu
We consider divergence form, second-order strongly parabolic systems in a cylindrical domain with a finite number of subdomains under the assumption that the interfacial boundaries…
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…
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…
Hessian estimates for non-divergence form elliptic equations arising from composite materials
Hongjie Dong, Longjuan Xu
In this paper, we prove that any strong solution to second-order non-divergence form elliptic equations is locally and piecewise when the leading c…
Gradient estimates for divergence form elliptic systems arising from composite material
Hongjie Dong, Longjuan Xu
In this paper, we show that weak solutions to divergence form elliptic systems are Lipschitz and piecewise provided that the leading coefficien…