16 citations · 47 across the 9 of their papers we have counts for
9 papers
Even and odd self-similar solutions of the diffusion equation for infinite horizon
L. Mátyás, I. F. Barna
In the description of transport phenomena an important aspect represents the diffusion. In certain cases the diffusion may appear together with convection. In this paper we study t…
Advanced self-similar solutions of regular and irregular diffusion equations
Imre Ferenc Barna, László Mátyás
We study the diffusion equation with an appropriate change of variables. This equation is in general a partial differential equation (PDE). With the self-similar and related Ansatä…
Analytic solutions of a two-fluid hydrodynamic model
I. F. Barna, Mátyás László
We investigate a one dimensional flow described with the non-compressible coupled Euler and non-compressible Navier-Stokes equations in Cartesian coordinate systems. We couple the…
Analytic self-similar solutions of the Kardar-Parisi-Zhang interface growing equation with various noise term
Imre Ferenc Barna, Gabriella Bognár, Mohammed Guedda +2
The one-dimensional Kardar-Parisi-Zhang dynamic interface growth equation with the self-similar Ansatz is analyzed. As a new feature additional analytic terms are added. From the m…
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…
Self-similar solutions for the Kardar-Parisi-Zhang interface dynamic equation
Imre Ferenc Barna, Laszlo Matyas
In this article we will present a study of the well-known Kardar-Parisi-Zhang(KPZ) model. Under certain conditions we have found analytic self-similar solutions for the underlying…
Entropy production in diffusion-reaction systems: The reactive random Lorentz gas
Laszlo Matyas, Pierre Gaspard
We report the study of a random Lorentz gas with a reaction of isomerization between the two colors of moving particles elastically bouncing on hard disks.…
Escape-rate formalism, decay to steady states, and divergences in the entropy-production rate
Juergen Vollmer, Laszlo Matyas, Tamas Tel
In summer 1997 we were sitting with Bob Dorfman and a few other friends interested in chaotic systems and transport theory on a terrace close to Oktogon in Budapest. While taking o…
Modelling thermostatting, entropy currents and cross effects by dynamical systems
Juergen Vollmer, Tamas Tel, Laszlo Matyas
A generalized multibaker map with periodic boundary conditions is shown to model boundary-driven transport, when the driving is applied by a ``perturbation'' of the dynamics locali…