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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
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…