1 citations · 1 across the 8 of their papers we have counts for
8 papers
On the local well-posedness of strong solutions to the unsteady flows of shear-thinning non-Newtonian fluids with a concentration-dependent power-law index
Kyueon Choi, Kyungkeun Kang, Seungchan Ko
We investigate a system of nonlinear partial differential equations modeling the unsteady flow of a shear-thinning non-Newtonian fluid with a concentration-dependent power-law inde…
On the double Beltrami states in Hall magnetohydrodynamics
Hantaek Bae, Kyungkeun Kang, Jaeyong Shin
In this paper, we investigate double Beltrami states in the Hall magnetohydrodynamic (Hall MHD) equations. Initially, we examine the double Beltrami states as a special class of st…
On the regularity of magneto-vorticity field and the global existence for the Hall magnetohydrodynamic equations
Hantaek Bae, Kyungkeun Kang, Jaeyong Shin
In this paper, we investigate the incompressible viscous and resistive Hall magnetohydrodynamic equations (Hall MHD in short). We first study the regularity of the magneto-vorticit…
Well-posedness, magnetic helicity conservation, inviscid limit and asymptotic stability for the generalized Navier-Stokes-Maxwell equations with the Hall effect
Kyungkeun Kang, Jihoon Lee, Dinh Duong Nguyen
This paper is devoted to studying the well-posedness, (conditional) conservation of magnetic helicity, inviscid limit and asymptotic stability of the generalized Navier-Stokes-Maxw…
Global boundedness and blow-up in a repulsive chemotaxis-consumption system in higher dimensions
Jaewook Ahn, Kyungkeun Kang, Dongkwang Kim
This paper investigates the repulsive chemotaxis-consumption model \begin{align*} \partial_t u &= \nabla \cdot (D(u) \nabla u) + \nabla \cdot (u \nabla v), \\ 0 &= Δv - uv \end{ali…
On the existence of strong solutions for unsteady motions of incompressible chemically reacting generalized Newtonian fluids
Kyueon Choi, Kyungkeun Kang, Seungchan Ko
We consider a system of nonlinear partial differential equations modeling the unsteady motion of an incompressible generalized Newtonian fluid with chemical reactions. The system c…
Well-posedness, magnetic helicity conservation, inviscid limit and asymptotic stability for the generalized Navier-Stokes-Maxwell equations
Kyungkeun Kang, Jihoon Lee, Dinh Duong Nguyen
This paper is devoted to studying the well-posedness, conservation of magnetic helicity, inviscid limit and asymptotic stability of the generalized Navier-Stokes-Maxwell (NSM) equa…
On the existence and temporal asymptotics of solutions for the two and half dimensional Hall MHD
Hantaek Bae, Kyungkeun Kang
In this paper, we deal with the dimensional Hall MHD by taking the velocity field and the magnetic field of the form $u(t,x,y)=\left(\nabla^{\perp}ϕ(t,x,y),…