Thermo--hydrodynamics As a Field Theory
Mathematical Physics
2013-11-12 v1 General Relativity and Quantum Cosmology
math.MP
Abstract
The field theoretical description of thermo-hydrodynamics is given. It is based on the duality between the physical space--time and the "material space-time" which we construct here. The material space appearing in a natural way in the canonical formulation of the hydrodynamics is completed with a material time playing role of the field potential for temperature. Both Lagrangian and Hamiltonian formulations, the canonical structure, Poisson bracket, N\"other theorem and conservation laws are discussed.
Cite
@article{arxiv.1112.5842,
title = {Thermo--hydrodynamics As a Field Theory},
author = {Jacek Jezierski and Jerzy Kijowski},
journal= {arXiv preprint arXiv:1112.5842},
year = {2013}
}
Comments
35 pages