6 citations · 11 across the 4 of their papers we have counts for
4 papers
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),…
The vortex patches of Serfati
Hantaek Bae, James P Kelliher
In 1993, two proofs of the persistence of regularity of the boundary of a classical vortex patch for the 2D Euler equations were published, one by Chemin (announced in 1991) the ot…
Global existence for some transport equations with nonlocal velocity
Hantaek Bae, Rafael Granero-Belinchón
In this paper, we study transport equations with nonlocal velocity fields with rough initial data. We address the global existence of weak solutions of an one dimensional model of…
Gevrey regularity for a class of dissipative equations with analytic nonlinearity
Hantaek Bae, Animikh Biswas
In this paper, we establish Gevrey class regularity of solutions to a class of dissipative equations with an analytic nonlinearity in the whole space. This generalizes the results…