Relativistic thermo-hydrodynamics and conservation laws in continua with thermal inertia
type: Item
instance of: scholarly article
title: Relativistic thermo-hydrodynamics and conservation laws in continua with thermal inertia
zbMATH Open document ID: 1013.83016
DOI: 10.1016/S0034-4877(02)80033-7
author: Yanyan Li
published in: Reports on Mathematical Physics
publication date: 2003-01-22T00:00:00Z
review text: A general relativistic Lagrangian is given which includes the effect of heat flux and non-equilibrium stress in the energy momentum tensor of an extended reversible fluid with thermal inertia. The extended Hamiltonian principle is used to derive the energy momentum tensor by taking the constraints into account with the help of Lagrange multipliers. This technique enables to derive relativistic definitions of heat and non-equilibrium stress. Reviewer's remark: The role of the so-called conservation laws remains unclear because such laws do not exist in general relativity without further restrictions on the space time manifold.
reviewed by: Thoralf Chrobok
Mathematics Subject Classification ID: 83C55
Mathematics Subject Classification ID: 76Y05
zbMATH DE Number: 1857370
zbMATH Keywords: gravitating fluids
zbMATH Keywords: thermal inertia
zbMATH Keywords: general relativity
zbMATH Keywords: Hamiltonian principle
zbMATH Keywords: relativistic thermodynamics
MaRDI profile type: Publication
cites work: Q2725515
cites work: Asymptotic Theory of the Boltzmann Equation
cites work: Q4379636
cites work: The Thermodynamics of Irreversible Processes. III. Relativistic Theory of the Simple Fluid
cites work: Lagrangian Density for Perfect Fluids in General Relativity
full work available at URL: s0034-4877(02)80033-7
OpenAlex ID: W1990641554
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description: scientific article; zbMATH DE number 1857370