Published December 14, 2001 | Version v1
Journal article Metadata-only

On Galilei-covariant Lagrangian models of fluids

Creators

  • 1. Faculte Saint-Jean, University of Alberta, Edmonton, AB (Canada) and Theoretical Physics Institute, University of Alberta, Edmonton, AB (Canada)
  • 2. Theoretical Physics Institute, University of Alberta, Edmonton, AB (CA) and TRIUMF, Vancouver, BC (CA)
  • 3. Theoretical Physics Institute, University of Alberta, Edmonton, AB (CA) and Instituto de Fisica, Universidade Federal da Bahia, Campus de Ondina, Salvador, Bahia (BR)

Description

We use a covariant-like formulation of Galilei invariance in five dimensions to obtain a model for compressible irrotational barotropic fluids with pressure proportional to the square of the mass density. Some solutions for the one-dimensional version of one of these equations are found by using their Lie point symmetries. Other models of fluids are also discussed. Our purpose is to illustrate how the Galilei-covariant formalism can serve as a guide for the construction of non-relativistic wave equations relevant in many-body theories. (author)

Availability note (English)

Available online at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 4361-6447) http://www.iop.org/

Additional details

Identifiers

URL
http://www.iop.org/;

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and General
Journal Volume
34
Journal Issue
49
Journal Page Range
p. 10921-10937
ISSN
0305-4470

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
33024128
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
COMPRESSIBLE FLOW; FLUIDS; GALILEI TRANSFORMATIONS; INVARIANCE PRINCIPLES; LAGRANGIAN FIELD THEORY; LIE GROUPS; MANY-BODY PROBLEM; MANY-DIMENSIONAL CALCULATIONS; SYMMETRY; WAVE EQUATIONS
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD THEORIES; FLUID FLOW; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM FIELD THEORY; SYMMETRY GROUPS; TRANSFORMATIONS