39 citations · 259 across the 47 of their papers we have counts for
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Cylindrical Euler--Poisson Equation in a Chaplygin Gas Medium
Balázs Endre Szigeti, Imre Ferenc Barna, Gergely Gábor Barnaföldi
We studied the Euler--Poisson equation system in the case of cylindrical symmetry with the von Neumann--Sedov--Taylor type of self-similar Ansatz and present scaling solutions. We…
Analytic solutions for the one-dimensional compressible Euler equation with heat conduction closed with different kind of equation of states
Imre Ferenc Barna, Laszlo Matyas
We present analytic self-similar or traveling wave solutions for a one-dimensional coupled system of continuity, compressible Euler and heat conduction equations. Different kind of…
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…