R. Kersner

activity

20102012

most citedHeat conduction: a telegraph-type model with self-similar behavior of solutions II

32 citations · 34 across the 3 of their papers we have counts for

collaborators

Showing 2010Show all

2 papers · 1 filter

math-ph2010★ 32 cited

Heat conduction: a telegraph-type model with self-similar behavior of solutions II

I. F. Barna, R. Kersner

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…

math-ph2010

Heat conduction: a telegraph-type model with self-similar behavior of solutions

Imre Ferenc Barna, Robert Kersner

For heat flux $q$ and temperature $T$ we introduce a modified Fourier--Cattaneo law $q_{t} + l \frac{q}{t} = - k T_{x} .$ The consequence of it is a non-autonomous telegraph-type equation…