Non-uniqueness for the Euler equations: the effect of the boundary
type: Item
instance of: scholarly article
title: Non-uniqueness for the Euler equations: the effect of the boundary
zbMATH Open document ID: 1301.35097
author: C. Bardos
author: László jun. Székelyhidi
author: E. Wiedemann
published in: Russian Mathematical Surveys
publication date: 2014-08-13T00:00:00Z
full work available at URL: https://arxiv.org/abs/1305.0773
Mathematics Subject Classification ID: 35Q31
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76B03
zbMATH DE Number: 6329909
zbMATH Keywords: Euler equations
zbMATH Keywords: non-uniqueness
zbMATH Keywords: wild solutions
zbMATH Keywords: dissipative solutions
zbMATH Keywords: boundary effects
zbMATH Keywords: convex integration
zbMATH Keywords: inviscid limit
zbMATH Keywords: rotational flows
MaRDI profile type: Publication
arXiv ID: 1305.0773
DOI: 10.1070/RM2014V069N02ABEH004886
review text: The main key point of the work is the simple but deep and clear demonstration that even the axially-symmetric 2D situation with the initial data in the form \(r^{-2}\) if the radial co-ordinate \(\rho<r<r_0\) and \(r^2\) if \(r_0<r<R\) provides infinitely many non-stationary admissible solutions of the Euler equations. The properties of these solutions are studied and discussed.
reviewed by: Eugene Postnikov
description: scientific article; zbMATH DE number 6329909