| dc.contributor.advisor | Holden, Helge | |
| dc.contributor.advisor | Grunert, Katrin | |
| dc.contributor.author | Nordli, Anders | |
| dc.date.accessioned | 2017-05-31T11:52:02Z | |
| dc.date.available | 2017-05-31T11:52:02Z | |
| dc.date.issued | 2017 | |
| dc.identifier.isbn | 978-82-326-2365-5 | |
| dc.identifier.issn | 1503-8181 | |
| dc.identifier.uri | http://hdl.handle.net/11250/2443991 | |
| dc.description.abstract | In 1991 Hunter and Saxton introduced a novel equation related to the
dynamics of liquid crystals. The equation exhibited startling properties,
among them wave breaking in finite time. Here we study the effects of wave
breaking on a two-component system generalizing the equation by Hunter
and Saxton. In particular we establish global existence of different classes
of weak solutions, and examine their stability.
Much effort has been devoted to understanding traffic flow. We find
a solution of a Riemann problem for a particular model of traffic flow at
an intersection, and find a special limit Riemann solver when the maximal
queue size tends to zero. | nb_NO |
| dc.language.iso | eng | nb_NO |
| dc.publisher | NTNU | nb_NO |
| dc.relation.ispartofseries | Doctoral theses at NTNU;2017:146 | |
| dc.title | On the two-component Hunter–Saxton system | nb_NO |
| dc.type | Doctoral thesis | nb_NO |
| dc.subject.nsi | VDP::Mathematics and natural science: 400::Mathematics: 410 | nb_NO |
