2 papers
math.AP2024
Global smooth solutions to the irrotational Euler-Riesz system in three dimensions
Young-Pil Choi, Jinwook Jung, Yoonjung Lee
This paper investigates the global dynamics of the Euler--Riesz system in three dimensions, focusing on the well-posedness and large-time behavior of solutions near equilibrium. Th…
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…