Young-Pil Choi

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math.AP2025

A unified relative entropy framework for macroscopic limits of Vlasov--Fokker--Planck equations

Young-Pil Choi, Jinwook Jung

We develop a unified relative entropy framework for macroscopic limits of kinetic equations with Riesz-type interactions and Fokker-Planck relaxation. Our analysis covers three pro…

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 $α$ -surface quasi-geostrophic ( $α$ -SQG) equations in Hölder spaces, where $α = 0$ and $α = 1$ correspond to the two-dime…