Damped Euler system with attractive Riesz interaction forces
type: Item
instance of: scholarly article
title: Damped Euler system with attractive Riesz interaction forces
author: Young-Pil Choi
author: Jinwook Jung
author: Yoonjung Lee
published in: Journal of Evolution Equations
publication date: 2024-10-10T00:00:00Z
review text: The article focuses on the analysis of the barotropic Euler equation with additional linear damping in velocity and with pairwise attractive Riesz interactions, in particular, the momentum equation contains the term \(\lambda\rho \nabla \Lambda^{\alpha-d}(\rho - c)\) where \(\Lambda^s\) is defined as \((-\Delta)^{s/2}\). The whole problem is considered on a \(d\)-dimensional torus. The authors provide the global-in-time well-posedness result and, moroever, they specify the assumptions under which one can expect the exponential decay of the \(L^2\) norm of the solution.
reviewed by: Václav Mácha
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 35Q31
zbMATH DE Number: 7924870
zbMATH Keywords: barotropic Euler equations
zbMATH Keywords: linear damping
zbMATH Keywords: global-in-time well-posedness
zbMATH Keywords: large-time exponential decay
MaRDI profile type: Publication
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DOI: 10.1007/S00028-024-00998-Z
description: scientific article; zbMATH DE number 7924870