Variational theory of non-perfect relativistic fluids.

Fernández, A., and García, P. L.. "Variational theory of non-perfect relativistic fluids.." Extracta Mathematicae 14.2 (1999): 163-179. <http://eudml.org/doc/38600>.

@article{Fernández1999,
abstract = {A basic question in General Relativity from the point of view of the general field theory is to obtain the Einstein equations coupled with the stress-energy-momentum tensor of a dissipative fluid from a variational principle. We believe that this problem, whose solution for perfect fluids is well known, has not been faced in a systematic way, maybe by the thought of a possible nonsense, for the concept of dissipation is believed to be incompatible with the essentially conservative character of the calculus of variations. In this talk, we shall deal with this topic by discussing a variational problem which generalizes in a natural way to this kind of fluids the Einstein-Taub formalism for the perfect fluids. We shall start by summarizing this formalism looking ahead to this generalization. Next, we shall show the generalization restricting ourselves, for simplicity, to relativistic fluids with just bulk viscosity. Finally, we shall see some simple examples that illustrate very well the essential points of the theory that has just been displayed.},
author = {Fernández, A., García, P. L.},
journal = {Extracta Mathematicae},
keywords = {Relatividad general; Dinámica relativista; Dinámica de fluidos; Problemas variacionales; generalized Einstein-Taub formalism; variational problem; non-perfect fluid},
language = {eng},
number = {2},
pages = {163-179},
title = {Variational theory of non-perfect relativistic fluids.},
url = {http://eudml.org/doc/38600},
volume = {14},
year = {1999},
}

TY - JOUR
AU - Fernández, A.
AU - García, P. L.
TI - Variational theory of non-perfect relativistic fluids.
JO - Extracta Mathematicae
PY - 1999
VL - 14
IS - 2
SP - 163
EP - 179
AB - A basic question in General Relativity from the point of view of the general field theory is to obtain the Einstein equations coupled with the stress-energy-momentum tensor of a dissipative fluid from a variational principle. We believe that this problem, whose solution for perfect fluids is well known, has not been faced in a systematic way, maybe by the thought of a possible nonsense, for the concept of dissipation is believed to be incompatible with the essentially conservative character of the calculus of variations. In this talk, we shall deal with this topic by discussing a variational problem which generalizes in a natural way to this kind of fluids the Einstein-Taub formalism for the perfect fluids. We shall start by summarizing this formalism looking ahead to this generalization. Next, we shall show the generalization restricting ourselves, for simplicity, to relativistic fluids with just bulk viscosity. Finally, we shall see some simple examples that illustrate very well the essential points of the theory that has just been displayed.
LA - eng
KW - Relatividad general; Dinámica relativista; Dinámica de fluidos; Problemas variacionales; generalized Einstein-Taub formalism; variational problem; non-perfect fluid
UR - http://eudml.org/doc/38600
ER -