Remarques sur l'instabilité du problème des poches de tourbillon. (Remarks on the instability of the vortex patch problem)
type: Item
instance of: scholarly article
title: Remarques sur l'instabilité du problème des poches de tourbillon. (Remarks on the instability of the vortex patch problem)
zbMATH Open document ID: 0732.35075
DOI: 10.1016/0022-1236(91)90083-H
published in: Journal of Functional Analysis
publication date: 1991-01-01T00:00:00Z
review text: The author considers the two-dimensional Euler equation with an initial vortex being the characteristic function of some domain, given by a boundary T. The main result is an instability in finite time of this boundary T (which is considered closed to a unit circle). Perturbation equations are of second order. The method is related with the paper of \textit{P. Constantin} and \textit{E. S. Titi} [Commun. Math. Phys. 119, No.2, 177-198 (1988; Zbl 0673.76025)].
reviewed by: Gelu Paşa
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76U05
zbMATH DE Number: 4210685
zbMATH Keywords: vortex patch problem
author: S. Alinhac
MaRDI profile type: Publication
cites work: On the evolution of nearly circular vortex patches
cites work: Vorticity and the mathematical theory of incompressible fluid flow
cites work: Q5337988
cites work: Contour dynamics for the Euler equations in two dimensions
full work available at URL: 0022-1236(91)90083-h
OpenAlex ID: W2021381560
description: scientific article; zbMATH DE number 4210685