Lagrangian based heat conduction
Mathematical Physics
2022-11-09 v1 math.MP
Abstract
Based on the Lagrangian description of the dissipative oscillator, the Hamiltonian description of Fourier heat conduction is treated here. The method enables us to calculate the solution of thermal propagation involving the Maxwell-Cattaneo-Vernotte (MCV) telegrapher type also, in which both the initial and the boundary conditions are taken into account. The presented study offers a new kind of solution to certain partial differential equations.
Cite
@article{arxiv.2105.04333,
title = {Lagrangian based heat conduction},
author = {Ferenc Márkus and András Szegleti},
journal= {arXiv preprint arXiv:2105.04333},
year = {2022}
}