23 citations · 34 across the 5 of their papers we have counts for
5 papers
Analytic solutions for irregular diffusion equations with concentration dependent diffusion coefficients
I. F. Barna, L. Matyas
We investigate diffusion equations which have concentration dependent diffusion coefficients with physically two relevant Ansätze, the self-similar and the traveling wave Ansatz. W…
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…
Self-similar analysis of the time-dependent compressible and incompressible boundary layers including heat conduction
Imre F. Barna, K. Hriczó, G. Bognár +1
We investigate the incompressible and compressible heat conducting boundary layer with applying the two-dimensional self-similar Ansatz. Analytic solutions can be found for the inc…
Self-similarity analysis of the non-linear Schrödinger equation in the Madelung form
Imre F. Barna, Mihály A. Pocsai, L. Mátyás
In the present study a particular case of Gross-Pitaevskii or non-linear Schrödinger equation is rewritten to a form similar to a hydrodynamic Euler equation using the Madelung tra…
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…