23 citations · 38 across the 6 of their papers we have counts for
6 papers
General self-similar solutions of diffusion equation and related constructions
Imre F. Barna, L. Mátyás
Transport phenomena plays an important role in science and technology. In the wide variety of applications both advection and diffusion may appear. Regarding diffusion, for long ti…
Analytic solutions of the rotating and stratified hydrodynamical equations
Imre Ferenc Barna, László Mátyás
In this article we investigate the two-dimensional incompressible rotating and stratified, just rotating, just stratified Euler equations with each other and with the normal Euler…
Analytic traveling-wave solutions of the Kardar-Parisi-Zhang interface growing equation with different kind of noise terms
Imre Ferenc Barna, Gabriella Bognár, Mohammed Guedda +2
The one-dimensional Kardar-Parisi-Zhang dynamic interface growth equation with the traveling-wave Ansatz is analyzed. As a new feature additional analytic terms are added. From the…
Self-similar analysis of a viscous heated Oberbeck-Boussinesq flow system
Imre Ferenc Barna, László Mátyás, Mihály András Pocsai
The simplest model to couple the heat conduction and Navier-Stokes equations together is the Oberbeck-Boussinesq(OB)system which were investigated by E.N. Lorenz and opened the par…
Analytic solutions of the Madelung equation
Imre F. Barna, Mihály A. Pocsai, László Mátyás
We present analytic self-similar solutions for the one, two and three dimensional Madelung hydrodynamical equation for a free particle. There is a direct connection between the zer…
Rayleigh-Bènard convection in the generalized Oberbeck-Boussinesq system
Imre Feren Barna, Mihály András Pocsai, Sándor Lökös +1
The original Oberbeck-Boussinesq (OB) equations which are the coupled two dimensional Navier-Stokes(NS) and heat conduction equations have been investigated by E.N. Lorenz half a c…