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master's thesis
Jednadžba porozne sredine
Zagreb: University of Zagreb, Faculty of Science, 2016. urn:nbn:hr:217:164391
Žubrinić, Josip
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

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Žubrinić, J. (2016). Jednadžba porozne sredine (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:164391

Žubrinić, Josip. "Jednadžba porozne sredine." Master's thesis, University of Zagreb, Faculty of Science, 2016. https://urn.nsk.hr/urn:nbn:hr:217:164391

Žubrinić, Josip. "Jednadžba porozne sredine." Master's thesis, University of Zagreb, Faculty of Science, 2016. https://urn.nsk.hr/urn:nbn:hr:217:164391

Žubrinić, J. (2016). 'Jednadžba porozne sredine', Master's thesis, University of Zagreb, Faculty of Science, accessed 18 November 2024, https://urn.nsk.hr/urn:nbn:hr:217:164391

Žubrinić J. Jednadžba porozne sredine [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2016 [cited 2024 November 18] Available at: https://urn.nsk.hr/urn:nbn:hr:217:164391

J. Žubrinić, "Jednadžba porozne sredine", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2016. Available at: https://urn.nsk.hr/urn:nbn:hr:217:164391

Metadata
TitleJednadžba porozne sredine
AuthorJosip Žubrinić
MentorMladen Jurak (mentor)
Committee memberMladen Jurak (predsjednik povjerenstva)
Committee memberZvonimir Tutek (član povjerenstva)
Committee memberNenad Antonić (član povjerenstva)
Committee memberRobert Manger (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2016-07-14, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovome radu smo proučavali jednadžbu porozne sredine, nelinearnu parcijalnu diferencijalnu jednadžbu paraboličkog tipa, koja ima prilično zanimljiva svojstva. U Poglavlju 1 prezentiramo modele u kojima se pojavljuje JPS ili neka njena generalizacija. Nadalje se bavimo njenim specijalnim rješenjima i njihovim svojstvima, izvodimo formule i dokazujemo korisnu propoziciju o graničnom rješenju. U Poglavlju 3 izvodimo apriorne ocjene bitne za daljnji nastavak teorije. U Poglavlju 4 dajemo precizne definicije slabih rješenja homogene Dirichletove zadaće i dokazujemo njihovu egzistenciju i jedinstvenost. U zadnjem poglavlju prezentiramo primjer numeričkog rješenja vezanog uz dvofazni tok u poroznoj sredini.
Abstract (english)
In this thesis we study porous medium equation, nonlinear partial differential equation of parabolic type with some particularly interesting properties. In Chapter 1, we present models involving PME or some of its generalizations. Furthermore, we deal with its special solutions and study their properties, calculate formulas and we give proof to a useful proposition about limit solution. In Chapter 3 we derive a priori bounds crucial for further development of the theory. In Chapter 4 we give precise definitions of weak solutions of homogeneous Dirichlet problem and give proof to their existence and uniqueness. A numerical example related to two-phase flow in porous medium is presented in the last chapter.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:164391
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 on2019-02-20 15:17:40