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23 January 2025

» arxiv » 2309.00210

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Damped Euler system with attractive Riesz interaction forces
Young-Pil Choi ; Jinwook Jung ; Yoonjung Lee ;
Date:	1 Sep 2023
Abstract:	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-posedness theory for the system near an equilibrium state. We also analyze the large-time behavior of solutions showing the exponential rate of convergence toward the equilibrium state as time goes to infinity.
Source:	arXiv, 2309.00210
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