Viscous approximations and decay rate of maximal vorticity function for 3D axisymmetric Euler equations
type: Item
instance of: scholarly article
title: Viscous approximations and decay rate of maximal vorticity function for 3D axisymmetric Euler equations
zbMATH Open document ID: 1064.35145
author: Zhouping Xin
author: Quansen Jiu
publication date: 2004-10-01T00:00:00Z
review text: The paper deals with the axially symmetric motion of incompressible homogeneous inviscid flows. In this case we arrive at 3D axially symmetric Euler equations without swirls. It is proved that the viscous approximations, which are the solutions of the corresponding Navier-Stokes equations with the initial data converge strongly in \(L^2([0,T];L^2_{\text{loc}} (\mathbb R^3))\) provided that they have strong convergence in the region away from the symmetry axis. A sufficient condition to guarantee the strong convergence in the region away from the symmetry axis is given. The decay rate of the vorticity maximal function is also investigated.
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76B03
Mathematics Subject Classification ID: 35Q05
zbMATH DE Number: 2104897
zbMATH Keywords: 3D axially symmetric Euler equations
zbMATH Keywords: strong convergence
zbMATH Keywords: weak solutions, existence
zbMATH Keywords: vorticity maximal function
reviewed by: G. Jaiani
MaRDI profile type: Publication
full work available at URL: s10114-004-0373-8
OpenAlex ID: W2073907696
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DOI: 10.1007/S10114-004-0373-8
published in: Acta Mathematica Sinica, English Series
description: scientific article; zbMATH DE number 2104897