Aplikácia integrálnych transformácií na určenie vzťahu rozptylu morskej vlny od nadmorskej výšky hladiny mora

dc.contributor.authorMalacká, Zuzana
dc.contributor.authorChupáč, Radoslav
dc.date.accessioned2024-06-26T15:49:16Z
dc.date.available2024-06-26T15:49:16Z
dc.date.issued2024
dc.description.abstractThe 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.en_US
dc.identifier.doihttps://doi.org/10.26552/tech.C.2024.2.15
dc.identifier.issn1337-8996
dc.identifier.urihttp://drepo.uniza.sk/xmlui/handle/hdluniza/1091
dc.language.isosken_US
dc.publisherUniversity of Žilinaen_US
dc.subjectdifferentia equationen_US
dc.subjectintegral transformationsen_US
dc.subjectwaves problemen_US
dc.titleAplikácia integrálnych transformácií na určenie vzťahu rozptylu morskej vlny od nadmorskej výšky hladiny moraen_US
dc.title.alternativeApplication of integral transformations to determine the relation of sea wave dispersion to sea level elevationen_US
dc.typeArticleen_US

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