14 citations · 33 across the 6 of their papers we have counts for
6 papers
Analytical investigation of time-dependent two-dimensional non-Newtonian boundary layer equations
Imre F. Barna, G. Bognár, L. Mátyás +1
In this study, five different time-dependent incompressible non-Newtonian boundary layer models in two dimensions are investigated, including external magnetic field effects. The p…
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…
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…
Geometrical origin of chaoticity in the bouncing ball billiard
L. Mátyás, I. F. Barna
We present a study of the chaotic behavior of the bouncing ball billiard. The work is realised on the purpose of finding at least certain causes of separation of the neighbouring t…
A multibaker map for shear flow and viscous heating
Laszlo Matyas, Tamas Tel, Juergen Vollmer
A consistent description of shear flow and the accompanied viscous heating as well the associated entropy balance is given in the framework of a deterministic dynamical system. A l…