Steady vortex flows obtained from a constrained variational problem
type: Item
instance of: scholarly article
title: Steady vortex flows obtained from a constrained variational problem
zbMATH Open document ID: 1007.35032
DOI: 10.1155/S0161171202008098
author: M. H. Mehrabi
author: Behrouz Emamizadeh
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2002-08-12T00:00:00Z
full work available at URL: https://eudml.org/doc/49824
full work available at URL: S0161171202008098.html
review text: Summary: We prove the existence of steady two-dimensional ideal vortex flows occupying the first quadrant and containing a bounded vortex; this is done by solving a constrained variational problem. Kinetic energy is maximized subject to the vorticity, being a rearrangement of a prescribed function and subject to a linear constraint.
Mathematics Subject Classification ID: 35J85
Mathematics Subject Classification ID: 76B47
Mathematics Subject Classification ID: 35J20
zbMATH DE Number: 1779115
zbMATH Keywords: existence
MaRDI profile type: Publication
Recommended article: A constrained variational problem for steady vortices in a shear flow
Recommended article: Steady vortex flows obtained from an inverse problem
Recommended article: Steady vortex flows obtained from a nonlinear eigenvalue problem
Recommended article: Q4432167
Recommended article: A constrained variational problem for an existence theorem of a steady vortex pair in two-phase shear flow
Recommended article: Exact solutions of the Navier–Stokes equations having steady vortex structures
Recommended article: A constrained variational problem for an existence theorem of steady vortex rings in Poiseuille flow
Recommended article: Steady vortex solutions to two dimensionalincompressible Euler equation
Recommended article: Q3823935
Recommended article: Variational study of steady flows stability in incompressible fluids
description: scientific article; zbMATH DE number 1779115