Topics in an ideal fluid dynamics
type: Item
instance of: scholarly article
title: Topics in an ideal fluid dynamics
zbMATH Open document ID: 1091.76007
published in: Journal of Mathematical Fluid Mechanics
publication date: 2006-02-07T00:00:00Z
review text: The paper deals with the uniqueness problem for the Euler equations of an ideal incompressible fluid motion. The problem of reduction of the fluid equations of motion with respect to the vorticity integrals is considered as well. The two problems are discussed and only partial results are obtained. Namely, a counter-example is constructed which shows that the conditions of the uniqueness theorem is unimprovable within the framework of the energy method. In the two-dimensional case the Lagrangian equations of fluid dynamics are reduced to a single scalar equation for the generating function of the area preserving mapping corresponding to the fluid flow.
Mathematics Subject Classification ID: 76B03
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35Q05
zbMATH DE Number: 5003839
zbMATH Keywords: incompressible ideal fluid
zbMATH Keywords: uniqueness
zbMATH Keywords: generating function
zbMATH Keywords: reduction
author: V. I. Yudovich
reviewed by: G. Jaiani
MaRDI profile type: Publication
full work available at URL: s00021-005-0161-y
OpenAlex ID: W2046348933
DOI: 10.1007/S00021-005-0161-Y
description: scientific article; zbMATH DE number 5003839