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master's thesis
Bressanov problem miješanja
Zagreb: University of Zagreb, Faculty of Science, 2018. urn:nbn:hr:217:506376
Tomić, Marin
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Tomić, M. (2018). Bressanov problem miješanja (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:506376

Tomić, Marin. "Bressanov problem miješanja." Master's thesis, University of Zagreb, Faculty of Science, 2018. https://urn.nsk.hr/urn:nbn:hr:217:506376

Tomić, Marin. "Bressanov problem miješanja." Master's thesis, University of Zagreb, Faculty of Science, 2018. https://urn.nsk.hr/urn:nbn:hr:217:506376

Tomić, M. (2018). 'Bressanov problem miješanja', Master's thesis, University of Zagreb, Faculty of Science, accessed 02 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:506376

Tomić M. Bressanov problem miješanja [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2018 [cited 2024 December 02] Available at: https://urn.nsk.hr/urn:nbn:hr:217:506376

M. Tomić, "Bressanov problem miješanja", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2018. Available at: https://urn.nsk.hr/urn:nbn:hr:217:506376

Metadata
TitleBressanov problem miješanja
AuthorMarin Tomić
MentorVjekoslav Kovač (mentor)
Committee memberVjekoslav Kovač (predsjednik povjerenstva)
Committee memberDražen Adamović (član povjerenstva)
Committee memberMarcela Hanzer (član povjerenstva)
Committee memberJosip Tambača (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2018-11-28, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom radu proučavamo Bressanov problem miješanja. Dajemo rigoroznu definiciju problema iz Eulerovog i Lagrangeovog gledišta. Prikazujemo rješenje jedne jednodimenzionalne, diskretne varijante problema koju je također formulirao Bressan. Nadalje, prikazujemo pristup dokazu \(L^p\) varijante Bressanove slutnje preko ocjena za bilinearnu singularnu integralnu formu. Na kraju donosimo rješenje još jedne diskretne, dvodimenzionalne varijante problema miješanja.
Abstract (english)
In this thesis we study Bressan’s mixing problem. We give a rigorous formulation of the problem from Eulerian and Lagrangian viewpoints. We present a solution of a one-dimensional, discrete version of the problem formulated by Bressan. We also show an approach to the proof of an \(L^p\) variant of Bressan’s conjecture via boundedness a bilinear singular integral form. Finally, we demonstrate a solution of another, discrete, two-dimensional variant of the mixing problem.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:506376
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 on2019-07-02 11:48:51