Fluid dynamics and thermodynamics as a unified field theory
type: Item
instance of: scholarly article
title: Fluid dynamics and thermodynamics as a unified field theory
zbMATH Open document ID: 1434.82071
DOI: 10.1134/S0081543816060146
author: Vladimir Pavlov
author: V. M. Sergeev
published in: Proceedings of the Steklov Institute of Mathematics
publication date: 2017-02-15T00:00:00Z
review text: The authors show how the dynamics of a potential flow of an ideal compressible fluid can be obtained from the variational principle with the Lagrange function \[ L(\psi,\psi';\varrho)=\varrho (\psi'-\frac{1}{2}(\partial_{i}\psi)^2)-U(\varrho) \] where \(\varrho =\varrho(r,t) \) is the velocity potential. To study the problem of consistency of a pair of thermodynamic equation authors applied the technique of generalized Hamiltonian dynamics proposed by P. Dirac.
reviewed by: Dazmir Shulaia
Mathematics Subject Classification ID: 82C40
Mathematics Subject Classification ID: 82B05
Mathematics Subject Classification ID: 35Q31
Mathematics Subject Classification ID: 76N15
Mathematics Subject Classification ID: 80A10
Mathematics Subject Classification ID: 37D35
zbMATH DE Number: 6684826
zbMATH Keywords: fluid dynamics
MaRDI profile type: Publication
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full work available at URL: s0081543816060146
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description: scientific article; zbMATH DE number 6684826