A note on deformations of 2D fluid motions using 3D Born-Infeld equations
type: Item
instance of: scholarly article
title: A note on deformations of 2D fluid motions using 3D Born-Infeld equations
zbMATH Open document ID: 1063.35130
author: Y. Brenier
published in: Monatshefte für Mathematik
publication date: 2004-10-28T00:00:00Z
review text: The author is interested in interpolating two classical fluid motions according to some hyperbolic evolution PDE. He notes that in the 2D case, a convenient set of such PDEs can be deduced from Born-Infeld theory of eletromagnetism. In the 3D case he notes that, as the parameter \(\lambda\) of the Born-Infeld equations goes to zero the Born-Infeld equations provide a solution for the interpolation problem.
reviewed by: Ricardo Sa Earp
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 35L90
zbMATH DE Number: 2111476
zbMATH Keywords: fluid motion
zbMATH Keywords: interpolation
zbMATH Keywords: Maxwell equations
zbMATH Keywords: hyperbolic evolution equations
MaRDI profile type: Publication
full work available at URL: s00605-004-0240-9
OpenAlex ID: W2090960469
DOI: 10.1007/S00605-004-0240-9
description: scientific article; zbMATH DE number 2111476