Original title: Algoritmy hledání shluků řešení diofantické rovnice popisující resonanci Rossbyho vln
Translated title: Algorithms of searching for clusters of solutions of Diophantic equation describing a resonance of Rossby waves
Authors: Leško, Samuel ; Navrátilová, Barbora (referee) ; Kureš, Miroslav (advisor)
Document type: Bachelor's theses
Year: 2018
Language: cze
Publisher: Vysoké učení technické v Brně. Fakulta strojního inženýrství
Abstract: [cze] [eng]
Tato prace se zabyva zkoumanim meteorologickeho fenomenu atmosferickych vln z hle- diska teorie cisel a algebry. Z fyzikalniho popisu dynamiky systemu techto vln vyplyva diofanticka rovnice, jejiz reseni tvori ve dvourozmerne souradnicove soustave neoriento- vany graf slozeny ze sestiuhelniku. Za ucelem hledani techto reseni byl implementovan funkcni program v prostredi Wolfram Mathematica. This thesis concerns about investigating a meteorological phenomenon of atmospheric waves from a number-theoretical and algebraic view. From the physical description of the dynamics of the system we get a Diophantine equation, solutions of which create an undirected graph consisting of hexagons in the 2D plane. For the purpose of finding these solutions a program in Wolfram Mathematica was implemented.
Keywords: Charney-Hasegawa-Mima equation; Diophantine equation; resonant triad; Rossby wave; undirected graph; Wolfram Mathematica.; Charneyho-Hasegawova-Mimova rovnice; diofanticka rovnice; neorientovany graf; resonancni triada; Rossbyho vlna; Wolfram Mathematica.

Institution: Brno University of Technology (web)
Document availability information: Fulltext is available in the Brno University of Technology Digital Library.
Original record: http://hdl.handle.net/11012/138091

Permalink: http://www.nusl.cz/ntk/nusl-590948


The record appears in these collections:
Universities and colleges > Public universities > Brno University of Technology
Academic theses (ETDs) > Bachelor's theses