Solution to the one-dimensional telegrapher's equation subject to a backreaction boundary condition
Mathematical Physics
2013-01-31 v1 math.MP
Quantitative Methods
Abstract
We discuss solutions of the one-dimensional telegrapher's equation in the presence of boundary conditions. We revisit the case of a radiation boundary condition and obtain an alternative expression for the already known Green's function. Furthermore, we formulate a backreaction boundary condition, which has been widely used in the context of diffusion-controlled reversible reactions, for a one-dimensional telegrapher's equation and derive the corresponding Green's function.
Keywords
Cite
@article{arxiv.1301.7139,
title = {Solution to the one-dimensional telegrapher's equation subject to a backreaction boundary condition},
author = {Thorsten Prüstel and Martin Meier-Schellersheim},
journal= {arXiv preprint arXiv:1301.7139},
year = {2013}
}
Comments
13 pages, 1 figure