Damped Euler system with attractive Riesz interaction forces
Analysis of PDEs
2023-09-04 v1
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.
Cite
@article{arxiv.2309.00210,
title = {Damped Euler system with attractive Riesz interaction forces},
author = {Young-Pil Choi and Jinwook Jung and Yoonjung Lee},
journal= {arXiv preprint arXiv:2309.00210},
year = {2023}
}
Comments
24 pages