28 citations · 34 across the 10 of their papers we have counts for
10 papers
Stability and instability for the fully parabolic Keller-Segel system around constant equilibrium
Jaewook Ahn, Jae-Myoung Kim, Junha Kim
This paper studies the Cauchy problem for the fully parabolic Keller-Segel system. The main results show that there exists a critical threshold for steady states $…
Regularity criteria and Liouville Theorem for 3D inhomogeneous Navier-Stokes flows with vacuum
Jae-Myoung Kim
In this paper, we investigate the 3D inhomogeneous Navier-Stokes flows with vacuum, and obtain regularity criteria and Liouville type theorems in the Lorentz space if a smooth solu…
Liouville type Theorems for the stationary compressible 3D MHD equations
Jae-Myoung Kim
In this paper, we investigate the three dimensional stationary compressible Navier-Stokes equations, and obtain Liouville type theorems if a smooth solution satis…
Some Liouville-type theorems for the stationary 3D magneto-micropolar fluids
Jae-Myoung Kim, Seungchan Ko
In this paper we prove some Liouville-type theorems for the stationary magneto-micropolar fluids under suitable conditions in three space dimensions. We first prove that the soluti…
Upper and lower bounds of convergence rates for strong solutions of the generalized Newtonian fluids with non-standard growth conditions
Jae-Myoung Kim, Seungchan Ko
We consider the motion of an incompressible shear-thickening power-law-like non-Newtonian fluid in with a variable power-law index. This system of nonlinear partial different…
Temporal decays and asymptotic behaviors for a Vlasov equation with a flocking term coupled to incompressible fluid flow
Young-Pil Choi, Kyungkeun Kang, Hwa Kil Kim +1
We are concerned with large-time behaviors of solutions for Vlasov--Navier--Stokes equations in two dimensions and Vlasov-Stokes system in three dimensions including the effect of…
Well-posedness of strong solutions for the Vlasov equation coupled to non-Newtonian fluids in dimension three
Kyungkeun Kang, Hwa Kil Kim, Jae-Myoung Kim
We consider the Cauchy problem for coupled system of Vlasov and non-Newtonian fluid equations. We establish local well--posedness of the strong solutions, provided that the initial…
Existence of regular solutions for a certain type of non-Newtonian Navier-Stokes equations
Kyungkeun Kang, Hwa Kil Kim, Jae-Myoung Kim
We are concerned with existence of regular solutions for non-Newtonian fluids in dimension three. For a certain type of non-Newtonian fluids we prove local existence of unique regu…
Elastocapillary coalescence of plates and pillars
Zhiyan Wei, Tobias Schneider, Jungchul Kim +3
When a fluid-immersed array of lamellae or filaments that is attached to a substrate is dried, evaporation leads to the formation of menisci on the tips of the plates or pillars th…
Boundary regularity criteria for suitable weak solutions of the magnetohydrodynamic equations
Kyungkeun Kang, Jae-Myoung Kim
We present some new regularity criteria for suitable weak solutions of magnetohydrodynamic equations near boundary in dimension three. We prove that suitable weak solutions are Höl…