2 papers
math.AP2025
On the axially symmetric solutions to the spatially homogeneous Landau equation
Jin Woo Jang, Junha Kim
In this paper, we consider the spatially homogeneous Landau equation, which is a variation of the Boltzmann equation in the grazing collision limit. For the Landau equation for har…
math.AP2024
On well/ill-posedness for the generalized surface quasi-geostrophic equations in Hölder spaces
Young-Pil Choi, Jinwook Jung, Junha Kim
We establish the well/ill-posedness theories for the inviscid -surface quasi-geostrophic (-SQG) equations in Hölder spaces, where and correspond to the two-dime…