Stability of the magnetic Couette-Taylor flow
type: Item
instance of: scholarly article
title: Stability of the magnetic Couette-Taylor flow
zbMATH Open document ID: 1075.35057
author: Bruno Scarpellini
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 2005-05-31T00:00:00Z
full work available at URL: 33 2005 Article 3016.pdf
review text: The paper studies the equilibrium solution to the magnetic Couette-Taylor problem in an unbounded cylindrical domain \(\Gamma= \{(r,\varphi,z): r_1< r_2\), \(\varphi\in [0,2\pi]\), \(z\in\mathbb{R}\}\) and its Lyapunov stability under small perturbation of the parameters characterizing the equilibrium. When a perturbation is added to the equilibrium, the MHD system is reformulated as an abstract parabolic equation with state \(w= (v, h)\). The equation has the self-adjoint and nonnegative Stokes operator \({\mathcal A}\) as coefficient.
reviewed by: Takao Nambu
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76E25
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76W05
zbMATH DE Number: 2172375
zbMATH Keywords: magnetic Couette-Taylor problem
zbMATH Keywords: Lyapunov stability
zbMATH Keywords: MHD system
zbMATH Keywords: Bloch space
zbMATH Keywords: small data
MaRDI profile type: Publication
OpenAlex ID: W2333285693
DOI: 10.1007/S00033-005-3016-8
description: scientific article; zbMATH DE number 2172375