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physics.class-ph2023
Even and odd self-similar solutions of the diffusion equation for infinite horizon
L. Mátyás, I. F. Barna
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 t…
physics.class-ph2022★ 12 cited
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…
physics.class-ph2013★ 3 cited
Self-similar shock wave solutions of the non-linear Maxwell equations
I. F. Barna
In our study we consider nonlinear, power-law field-dependent electrical permitivity and magnetic permeability and investigate the time-dependent Maxwell equations with the self-si…