3 papers
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
Existence of weak solutions and long-time asymptotics for hydrodynamic model of swarming
Nilasis Chaudhuri, Young-Pil Choi, Oliver Tse +1
We consider a one-dimensional hydrodynamic model featuring nonlocal attraction-repulsion interactions and singular velocity alignment. We introduce a two-velocity reformulation and…