Heat conduction: a telegraph-type model with self-similar behavior of solutions II
Mathematical Physics
2015-05-20 v1 math.MP
Abstract
In our former study (J. Phys. A: Math. Theor. 43, (2010) 325210 or arXiv:1002.0999v1 [math-ph]) we introduced a modified Fourier-Cattaneo law and derived a non-autonomous telegraph-type heat conduction equation which has desirable self-similar solution. Now we present a detailed in-depth analysis of this model and discuss additional analytic solutions for different parameters. The solutions have a very rich and interesting mathematical structure due to various special functions.
Keywords
Cite
@article{arxiv.1009.6085,
title = {Heat conduction: a telegraph-type model with self-similar behavior of solutions II},
author = {I. F. Barna and R. Kersner},
journal= {arXiv preprint arXiv:1009.6085},
year = {2015}
}
Comments
12 pages, 10 figures 3 of them are colour, we plan to submit it to J. Phys. A: Math. Theor