3 papers
math.AP2026
Global well-posedness of the one-phase Muskat problem with surface tension
Hongjie Dong, Hyunwoo Kwon
In this paper, we establish the global well-posedness of the one-phase Muskat problem with surface tension for small initial data. This problem describes the motion of the interfac…
math.AP2025
Spatial , , and Schauder estimates for nonstationary Stokes equations with Dini mean oscillation coefficients
Hongjie Dong, Hyunwoo Kwon
We establish the spatial differentiability of weak solutions to nonstationary Stokes equations in divergence form with variable viscosity coefficients having -Dini mean oscill…
math.AP2025
Nonstationary Stokes equations on a domain with curved boundary under slip boundary conditions
Hongjie Dong, Hyunwoo Kwon
We consider nonstationary Stokes equations in nondivergence form with variable viscosity coefficients and generalized Navier slip boundary conditions with slip tensor …