Relativistic Lagrange Formulation
arXiv:gr-qc/0102071 · doi:10.1063/1.1364502
Abstract
It is well-known that the equations for a simple fluid can be cast into what is called their Lagrange formulation. We introduce a notion of a generalized Lagrange formulation, which is applicable to a wide variety of systems of partial differential equations. These include numerous systems of physical interest, in particular, those for various material media in general relativity. There is proved a key theorem, to the effect that, if the original (Euler) system admits an initial-value formulation, then so does its generalized Lagrange formulation.
34 pages, no figures, accepted in J. Math. Phys