Zobrazeno 1 - 10
of 214
pro vyhledávání: '"Mátyás, L."'
In this study, five different time-dependent incompressible non-Newtonian boundary layer models in two dimensions are investigated, including external magnetic field effects. The power law, the Casson fluid, the Oldroyd-B model, the Walter fluid B mo
Externí odkaz:
http://arxiv.org/abs/2311.04676
Autor:
Barna, I. F., Matyas, L.
We investigate diffusion equations which have concentration dependent diffusion coefficients with physically two relevant Ans\"atze, the self-similar and the traveling wave Ansatz. We found that for power-law concentration dependence some of the resu
Externí odkaz:
http://arxiv.org/abs/2310.01466
Autor:
Mátyás, L., Barna, I. F.
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 the diffusion equation with the self similar Ansatz. With an appropriat
Externí odkaz:
http://arxiv.org/abs/2304.06824
Publikováno v:
Mathematics 2022, 10, 2311
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-similar Ansatz. We found analytic solutions how the wave height and velocity
Externí odkaz:
http://arxiv.org/abs/2202.06314
Publikováno v:
In Partial Differential Equations in Applied Mathematics September 2024 11
Autor:
Barna, Imre F., Mátyás, L.
Publikováno v:
Romanian Journal of Physics 67, (2022) 101
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 times, different type of decay rates are possible for different non-equi
Externí odkaz:
http://arxiv.org/abs/2104.09128
Publikováno v:
Journal of Thermal Analysis and Calorimetry (2022) 147 13625
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 incompressible case which can be expressed with special functions. The pa
Externí odkaz:
http://arxiv.org/abs/2101.08990
Autor:
Barna, Imre F., Mátyás, L.
Publikováno v:
Annals of Mathematics and Physics 5(2), 137-139 (2022)
The Ulam spiral inspired us to calculate and present Lissajous curves where the orthogonally added functions are a finite sum of sinus and cosines functions with consecutive prime number frequencies.
Comment: 5 pages and 4 figures
Comment: 5 pages and 4 figures
Externí odkaz:
http://arxiv.org/abs/2009.01687
Publikováno v:
Advances in Mathematical Physics, Article ID 7087295, Volume 2018 (2018)
In the present study a particular case of Gross-Pitaevskii or non-linear Schr\"odinger equation is rewritten to a form similar to a hydrodynamic Euler equation using the Madelung transformation. The obtained system of differential equations is highly
Externí odkaz:
http://arxiv.org/abs/1804.06274
Autor:
Barna, I. F., Matyas, L.
Publikováno v:
Chaos Solitons and Fractals 78, (2015) 249
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 conduction equation. The system was investigated from E.N. Lorenz hal
Externí odkaz:
http://arxiv.org/abs/1502.05039