On the existence of a stationary symmetric solution of the two- dimensional fluid flow problem
type: Item
instance of: scholarly article
title: On the existence of a stationary symmetric solution of the two- dimensional fluid flow problem
zbMATH Open document ID: 0829.35100
DOI: 10.1007/BF01209092
author: L. I. Sazonov
published in: Mathematical Notes
publication date: 1995-09-12T00:00:00Z
review text: For the problem \(\nu \Delta v - \nabla p = (v, \nabla) v + f, \quad \text{div} v = 0, \quad v |_{\partial \Omega} = a,\) considered in a bounded doubly connected domain \(\Omega \subset \mathbb{R}^2\), with a nonzero flux \[ \mu = \int_{S_j} (a,n) ds \quad (j = 1,2) \] of the field \(a\) through the components \(S_1\) and \(S_2\) of the boundary \(\partial \Omega = S_1 \cup S_2\), we establish the existence of a generalized solution under definite symmetry conditions for the domain \(\Omega\) and the fields \(a\) and \(f\).
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 795659
zbMATH Keywords: doubly connected domain
zbMATH Keywords: nonzero flux
zbMATH Keywords: symmetry conditions
MaRDI profile type: Publication
cites work: Étude de diverses équations intégrales non linéaires et de quelques problèmes que pose l'hydrodynamique
cites work: Q5733282
description: scientific article; zbMATH DE number 795659