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master's thesis
Navier-Stokesove jednadžbe
Zagreb: University of Zagreb, Faculty of Science, 2016. urn:nbn:hr:217:280073
Ivančić, Filip
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Ivančić, F. (2016). Navier-Stokesove jednadžbe (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:280073

Ivančić, Filip. "Navier-Stokesove jednadžbe." Master's thesis, University of Zagreb, Faculty of Science, 2016. https://urn.nsk.hr/urn:nbn:hr:217:280073

Ivančić, Filip. "Navier-Stokesove jednadžbe." Master's thesis, University of Zagreb, Faculty of Science, 2016. https://urn.nsk.hr/urn:nbn:hr:217:280073

Ivančić, F. (2016). 'Navier-Stokesove jednadžbe', Master's thesis, University of Zagreb, Faculty of Science, accessed 23 November 2024, https://urn.nsk.hr/urn:nbn:hr:217:280073

Ivančić F. Navier-Stokesove jednadžbe [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2016 [cited 2024 November 23] Available at: https://urn.nsk.hr/urn:nbn:hr:217:280073

F. Ivančić, "Navier-Stokesove jednadžbe", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2016. Available at: https://urn.nsk.hr/urn:nbn:hr:217:280073

Metadata
TitleNavier-Stokesove jednadžbe
AuthorFilip Ivančić
MentorBoris Muha (mentor)
Committee memberBoris Muha (predsjednik povjerenstva)
Committee memberDražen Adamović (član povjerenstva)
Committee memberNela Bosner (član povjerenstva)
Committee memberMaja Starčević (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2016-09-27, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Navier-Stokesove jednadžbe opisuju gibanje inkompresibilnog Newtonovog fluida. Unatoč detaljnom proučavanju kroz godine (problem je postavljen pred gotovo 200 godina), egzistencija i jedinstvenost glatkog rješenja i dalje su otvoreno pitanje i spadaju u jedan od milenijskih problema. Cilj ovog rada je pokazati egzistenciju i jedinstvenost slabog rješenja u dvije i tri dimenzije pod određenim uvjetima, diskutirati problematiku vezanu uz sama rješenja i konačno dati neke primjere primjena Navier-Stokesovih jednadžbi u realnim fizikalnim problemima.
Abstract (english)
Navier-Stokes equations describe motion of incompressible Newtonian fluid. Although heavily studied over the years (problem was set almost 200 years ago), it is still unsolved problem in classical sense - existence and uniqueness of smooth solutions - and is one of the millennium problems. Objective of this work is to show existence and uniqueness of weak solutions in two and three dimensions under certain conditions, discuss on the major problems, and give some examples of applications together with numerical simulations of real world problems.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:280073
Study programmeTitle: Applied Mathematics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2019-01-30 13:04:46