32 citations · 34 across the 3 of their papers we have counts for
4 papers
Heat conduction: hyperbolic self-similar shock-waves in solids
Imre Ferenc Barna, Robert Kersner
Analytic solutions for cylindrical thermal waves in solid medium is given based on the nonlinear hyperbolic system of heat flux relaxation and energy conservation equations. The Fo…
Self-similar solutions of the three dimensional Navier-Stokes equation
I. F. Barna
In this article we will present pure three dimensional analytic solutions for the Navier-Stokes and the continuity equations in Cartesian coordinates. The key idea is the three-dim…
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…
Heat conduction: a telegraph-type model with self-similar behavior of solutions
Imre Ferenc Barna, Robert Kersner
For heat flux and temperature we introduce a modified Fourier--Cattaneo law The consequence of it is a non-autonomous telegraph-type equation…