Browsing by Author "Malacká, Zuzana"

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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.
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    Spracovanie technických materiálov z matematického hľadiska
    (University of Žilina, 2025) Malacká, Zuzana
    The processing of technical materials is a key process in many industries, such as mechanical engineering, automotive, aerospace and energy. Mathematical modelling of these processes allows for a better understanding and optimization of processing techniques, which leads to increased efficiency and product quality. This article focuses on the application of mathematical methods in the processing of technical materials, including the analysis of mechanical properties, thermal behaviour and material flow dynamics. Examples from the fields of forming, welding and casting are presented, demonstrating the importance of mathematical approaches in improving the quality and efficiency of production.