On the Euler equations with a singular external velocity field
type: Item
instance of: scholarly article
title: On the Euler equations with a singular external velocity field
zbMATH Open document ID: 0714.76028
author: Carlo Marchioro
published in: Rendiconti del Seminario Matematico della Università di Padova
publication date: 1990-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/108206
review text: Summary: We study the Euler equations for an incompressible fluid in presence of a singular external velocity field produced by fixed point vortices. We prove the existence and the uniqueness of the solution.
Mathematics Subject Classification ID: 76B47
Mathematics Subject Classification ID: 35Q30
zbMATH DE Number: 4176667
zbMATH Keywords: Euler equations
zbMATH Keywords: singular external velocity field
zbMATH Keywords: fixed point vortices
zbMATH Keywords: existence and the uniqueness of the solution
MaRDI profile type: Publication
cites work: Euler evolution for singular initial data and vortex theory: A global solution
cites work: On the vanishing viscosity limit for two-dimensional Navier-Stokes equations with singlular initial data
cites work: Evolution of two concentrated vortices in a two‐dimensional bounded domain
cites work: Euler evolution for singular initial data and vortex theory
cites work: Vortex methods in two-dimensional fluid dynamics
cites work: Q3998020
cites work: On the evolution of a concentrated vortex in an ideal fluid
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description: scientific article; zbMATH DE number 4176667