Technológ - Ročník 16.; Číslo 2/2024

Permanent URI for this collectionhttps://drepo.uniza.sk/handle/hdluniza/1087

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Author: search.filters.author.Chupáč, RadoslavEnd date: 2024

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    Parametricky modulovaný oscilátor v asymptotickom prípade
    (University of Žilina, 2024) Minárik, Ján; Ftorek, Branislav; Chupáč, Radoslav
    This article deals with the asymptotic solution in analytical form of some second-order linear differential equation with time-dependent parameters. Time-periodic modulation of the parameters of the oscillatory system can lead to interesting phenomena. The analytical solution is compared with the numerical solution obtained by the Runge-Kutta method in the MATLAB environment. The convergence conditions of this analytical method are discussed.
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    Aplikácia integrálnych transformácií na určenie vzťahu rozptylu morskej vlny od nadmorskej výšky hladiny mora
    (University of Žilina, 2024) Malacká, Zuzana; Chupáč, Radoslav
    The focus of this paper is the linear problem of gravity waves on the surface of a viscous incompressible fluid with a constant finite depth. This problem arises when the free surface is in a state of rest and there is a finite perturbation and a given normal pressure on it. We resolve the time evolution of the initial surface perturbation, or the classical linear Cauchy-Poisson problem, in the presence of a uniformly vorticous shear current beneath the surface. The solution is general, including the effects of gravity, surface tension, and constant finite depth. The main goal of this paper is to study such a problem, which appears to be important and interesting from a mathematical as well as a physical point of view. The problem is solved by using the Laplace and Henkel transformations, and we get an integral solution.