Original title: Slabé řešení Navier-Stokesových rovnic
Translated title: Weak solution to the Navier-Stokes equations
Authors: Šegeda, Adrián ; Kreml, Ondřej (advisor) ; Souček, Ondřej (referee)
Document type: Bachelor's theses
Year: 2024
Language: slo
Abstract: [eng] [cze]
We derive the weak formulation of the Navier-Stokes equations directly from the basic physical principles, showing that the weak formulation and thus also the weak solution are completely natural for this system. Next, we will show the effect of various boundary conditions on this weak formulation. Finally, we summarize the already known concepts of solutions of the Navier-Stokes equations with theorems about their existence and ex- plain relationships among them. 1 Priamo zo základných fyzikálnych princípov odvodíme slabú formuláciu Navier-Stoke- sových rovníc, čím ukážeme, že slabá formulácia a teda aj slabé riešenie sú úplne priro- dzené pre popis tohto systému. Ďalej ukážeme, aký vplyv majú rôzne okrajové podmienky na túto slabú formuláciu. Nakoniec zhrnieme už známe pojmy riešení Navier-Stokesových rovníc s vetami o ich existencii a vysvetlíme jednotlivé vzťahy medzi nimi. 1
Keywords: Navier-Stokes equations|weak solution|suitable weak solution|boundary conditions; Navier-Stokesovy rovnice|slabé řešení|vhodné slabé řešení|okrajové podmínky

Institution: Charles University Faculties (theses) (web)
Document availability information: Available in the Charles University Digital Repository.
Original record: http://hdl.handle.net/20.500.11956/191463

Permalink: http://www.nusl.cz/ntk/nusl-621838


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Universities and colleges > Public universities > Charles University > Charles University Faculties (theses)
Academic theses (ETDs) > Bachelor's theses