Young-Pil Choi

activity

20232026

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4 papers · 1 filter

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

Enhanced dissipation and temporal decay in the Euler-Poisson-Navier-Stokes equations

Young-Pil Choi, Houzhi Tang, Weiyuan Zou

This paper investigates the global well-posedness and large-time behavior of solutions for a coupled fluid model in $R^{3}$ consisting of the isothermal compressible Euler-P…

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…

math.AP2024

The global Cauchy problem for the Euler-Riesz equations

Young-Pil Choi, Jinwook Jung, Yoonjung Lee

We completely resolve the global Cauchy problem for the multi-dimensional Euler-Riesz equations, where the interaction forcing is given by $\nabla (- Δ)^{- σ /2} ρ$ for some $σ\in (0,2…