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arXiv · 2309.00210

Damped Euler system with attractive Riesz interaction forces

Young-Pil Choi·Jinwook Jung·Yoonjung Lee
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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.

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Young-Pil Choi, Jinwook Jung, Yoonjung Lee. 2023-09-01. Damped Euler system with attractive Riesz interaction forces. https://arxiv.org/abs/2309.00210

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