89 citations · 210 across the 42 of their papers we have counts for
43 papers
Local and global regularity for the Stokes and Navier-Stokes equations with the localized boundary data in the half-space
Kyungkeun Kang, Chanhong Min
We study the Stokes system with the localized boundary data in the half-space. We are concerned with the local regularity of its solution near the boundary away from the support of…
Existence of weak solutions for Porous medium equation with a divergence type of drift term in a bounded domain
Sukjung Hwang, Kyungkeun Kang, Hwa Kil Kim
We study porous medium equations with a divergence form of drift terms in a bounded domain with no-flux lateral boundary conditions. We establish -weak solutions for $ 1\leq q…
Global well-posedness and stability of the 2D Boussinesq equations with partial dissipation near a hydrostatic equilibrium
Kyungkeun Kang, Jihoon Lee, Dinh Duong Nguyen
The paper is devoted to investigating the well-posedness, stability and large-time behavior near the hydrostatic balance for the 2D Boussinesq equations with partial dissipation. M…
Singular weak solutions near boundaries in a half space away from localized force for the Stokes and Navier-Stokes equations
Tongkeun Chang, Kyungkeun Kang
We prove that there exists a weak solution of the Stokes system with a non-zero external force and no-slip boundary conditions in a half space of dimensions three and higher so tha…
Local regularity criteria in terms of one velocity component for the Navier-Stokes equations
Kyungkeun Kang, Dinh Duong Nguyen
This paper is devoted to presenting new interior regularity criteria in terms of one velocity component for weak solutions to the Navier-Stokes equations in three dimensions. It is…
Regular solutions of chemotaxis-consumption systems involving tensor-valued sensitivities and Robin type boundary conditions
Jaewook Ahn, Kyungkeun Kang, Jihoon Lee
This paper deals with a parabolic-elliptic chemotaxis-consumption system with tensor-valued sensitivity under no-flux boundary conditions for and Robin-type boundary…