3 papers
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 for some $σ\in (0,2…
math.AP2023
Damped Euler system with attractive Riesz interaction forces
Young-Pil Choi, Jinwook Jung, Yoonjung Lee
We consider the barotropic Euler equations with pairwise attractive Riesz interactions and linear velocity damping in the periodic domain. We establish the global-in-time well-pose…
math.AP2021
Modulated energy estimates for singular kernels and their applications to asymptotic analyses for kinetic equations
Young-Pil Choi, Jinwook Jung
In this paper, we provide modulated interaction energy estimates for the kernel with , and its applications to quantified asymptotic analyses for kine…