2 citations · 2 across the 4 of their papers we have counts for
5 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…
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…
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…