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math.AP2025
Exponential and algebraic decay in Euler--alignment system with nonlocal interaction forces
José A. Carrillo, Young-Pil Choi, Dowan Koo +1
We investigate the large-time behavior of the pressureless Euler system with nonlocal velocity alignment and interaction forces, with the aim of characterizing the asymptotic conve…
math.AP2025
Derivation of nonlinear aggregation-diffusion equation from a kinetic BGK-type equation
Young-Pil Choi, Jeongho Kim, Oliver Tse
This paper investigates the diffusion limit of a kinetic BGK-type equation, focusing on its relaxation to a nonlinear aggregation-diffusion equation, where the diffusion exhibits a…
math.AP2024
Weak-strong uniqueness and high-friction limit for Euler-Riesz systems
Nuno J. Alves, José A. Carrillo, Young-Pil Choi
In this work we employ the relative energy method to obtain a weak-strong uniqueness principle for a Euler-Riesz system, as well as to establish its convergence in the high-frictio…