5 papers
Eventual regularity and asymptotic behavior of Leray-Hopf weak solutions for the Hall-MHD system
Jinwook Jung, Jaeyong Shin
In this paper, we study the incompressible, viscous and resistive Hall-magnetohydrodynamic (Hall-MHD) system. We first prove that every two-dimensional Leray-Hopf weak solution bec…
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…
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…
Global existence and long time behavior of solutions to some Oldroyd type models in hybrid Besov spaces
Hantaek Bae, Jaeyong Shin
In this paper, we deal with some Oldroyd type models, which describe incompressible viscoelastic fluids. There are 3 parameters in these models: the viscous coefficient of fluid $Î…