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math.AP2025
Global dynamics of damped Euler systems with exterior potentials
Young-Pil Choi, Houzhi Tang, Weiyuan Zou
We study the three-dimensional isothermal Euler equations with linear damping and an exterior potential. For sufficiently large damping, we prove global well-posedness for arbitrar…
math.AP2024
Alignment with nonlinear velocity couplings: collision-avoidance and micro-to-macro mean-field limits
Young-Pil Choi, MichaÅ Fabisiak, Jan Peszek
We investigate the pressureless fractional Euler-alignment system with nonlinear velocity couplings, referred to as the -Euler-alignment system. This model features a nonlinear…