73 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- HUN-REN Wigner Research Centre for PhysicsHU10 papers
- Obuda UniversityHU9 papers
- Babeș-Bolyai UniversityRO8 papers
- ELI-HU Research and Development Non-ProfitHU4 papers
- University of PecsHU4 papers
- Hungarian Academy of SciencesHU3 papers
- Institute for Atomic Energy ResearchHU2 papers
- University of MiskolcHU2 papers
- Atatürk UniversityTR1 paper
- Austrian Center for Medical Innovation and TechnologyAT1 paper
- Corvinus University of BudapestHU1 paper
- Kafkas UniversityTR1 paper
24 papers
Establishing a Learning Model for Correct Hand Hygiene Technique in a NICU
Irén A. Kopcsóné Németh, Csaba Nádor, László Szilágyi +2
The ability of healthcare workers to learn proper hand hygiene has been an understudied area of research. Generally, hand hygiene skills are regarded as a key contributor to reduce…
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…
Time-dependent analytic solutions for water waves above sea of varying depths
I. F. Barna, M. A. Pocsai, L. Mátyás
We investigate a hydrodynamic equation system which - with some approximation - is capable to describe the tsunami propagation in the open ocean with the time-dependent self-simila…
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…
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 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 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…
On an open question of Ricceri concerning a Kirchhoff-type problem
Francesca Faraci, Csaba Farkas
In the present note we prove a multiplicity result for a Kirchhoff type problem involving a critical term, giving a partial positive answer to a problem raised by Ricceri.
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…
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…
The radius of uniform convexity of Bessel functions
Erhan Deniz, Róbert Szász
In this paper, we determine the radius of uniform convexity for three kinds of normalized Bessel functions of the first kind. In the mentioned cases the normalized Bessel functions…
Singular Poisson equations on Finsler-Hadamard manifolds
Csaba Farkas, Alexandru Kristály, Csaba Varga
In the first part of the paper we study the reflexivity of Sobolev spaces on non-compact and not necessarily reversible Finsler manifolds. Then, by using direct methods in the calc…
Schrödinger-Maxwell systems on Hadamard manifolds
Csaba Farkas, Alexandru Kristály
In this paper we study nonlinear Schrödinger-Maxwell systems on dimensional Hadamard manifolds, The main difficulty resides in the lack of compactness of such…
Products of Bessel and modified Bessel functions
Árpád Baricz, Róbert Szász, Nihat Yağmur
The reality of the zeros of the product and cross-product of Bessel and modified Bessel functions of the first kind is studied. As a consequence the reality of the zeros of two hyp…
Analytic self-similar solutions of the Oberbeck-Boussinesq equations
I. F. Barna, L. Matyas
In this article we will present pure two-dimensional analytic solutions for the coupled non-compressible Newtoniain Navier-Stokes --- with Boussinesq approximation --- and the heat…
The radius of convexity of normalized Bessel functions
Árpád Baricz, Róbert Szász
The radius of convexity of two normalized Bessel functions of the first kind are determined in the case when the order is between and Our methods include the minimum pri…
On an identity for zeros of Bessel functions
Árpád Baricz, Dragana Jankov Maširević, Tibor K. Pogány +1
In this paper our aim is to present an elementary proof of an identity of Calogero concerning the zeros of Bessel functions of the first kind. Moreover, by using our elementary app…
Close-to-convexity of some special functions and their derivatives
Árpád Baricz, Róbert Szász
In this paper our aim is to deduce some sufficient (and necessary) conditions for the close-to-convexity of some special functions and their derivatives, like Bessel functions, Str…
Monotonicity properties of some Dini functions
Árpád Baricz, Tibor K. Pogány, Róbert Szász
In this note our aim is to deduce some new monotonicity properties for a special combination of Bessel functions of the first kind by using a recently developed Mittag-Leffler expa…
The radius of convexity of normalized Bessel functions of the first kind
Árpád Baricz, Róbert Szász
In this paper we determine the radius of convexity for three kind of normalized Bessel functions of the first kind. In the mentioned cases the normalized Bessel functions are starl…
The radius of starlikeness of normalized Bessel functions of the first kind
Árpád Baricz, Pál A. Kupán, Róbert Szász
In this note our aim is to determine the radius of starlikeness of the normalized Bessel functions of the first kind for three different kinds of normalization. The key tool in the…
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…
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…