5 citations · 5 across the 3 of their papers we have counts for
9 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 $…
Optimal regularity for a Dirichlet-conormal problem in Reifenberg flat domain
Jongkeun Choi, Hongjie Dong, Zongyuan Li
We study the divergence form second-order elliptic equations with mixed Dirichlet-conormal boundary conditions. The unique solvability is obtained with being in the o…
Green functions for pressure of Stokes systems
Jongkeun Choi, Hongjie Dong
We study Green functions for the pressure of stationary Stokes systems in a (possibly unbounded) domain , where . We construct the Green function whe…
Estimates for Green functions of Stokes systems in two dimensional domains
Jongkeun Choi, Doyoon Kim
We prove the existence and pointwise bounds of the Green functions for stationary Stokes systems with measurable coefficients in two dimensional domains. We also establish pointwis…
Gradient estimates for Stokes systems in domains
Jongkeun Choi, Hongjie Dong
We study the stationary Stokes system with Dini mean oscillation coefficients in a domain having boundary. We prove that if is a weak solution of the sys…
Green functions of conormal derivative problems for stationary Stokes system
Jongkeun Choi, Hongjie Dong, Doyoon Kim
We study Green functions for stationary Stokes systems satisfying the conormal derivative boundary condition. We establish existence, uniqueness, and various estimates for the Gree…