5 papers · 1 filter
On a generalized incompressible model in two dimensions
Hantaek Bae, Kyungkeun Kang, James P Kelliher +1
We analyze a generalized incompressible model proposed by Ohkitani [19]. This model is based on the observation that the two-dimensional Burgers' equation can be related to the inc…
On the temporal estimates for the incompressible Navier-Stokes equations and the Hall-magnetohydrodynamic equations
Hantaek Bae, Jinwook Jung, Jaeyong Shin
In this paper, we derive decay rates for solutions to the incompressible Navier-Stokes equations and Hall-magnetohydrodynamic equations. We first improve the decay rate of weak sol…
Long-time existence for the 2D ideal Boussinesq and the 2D density-dependent Euler equations
Hantaek Bae, Milton Lopes Filho, Anna Mazzucato +1
We establish long-time existence of smooth solutions to the 2D ideal Boussinesq equations and to the 2D non-homogeneous incompressible Euler equations for initial data consisting o…
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…