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math.AP2024★ 1 cited
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…
math.AP2024
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…
math.AP2024
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 $ν…