dc.contributor.advisor | Holden, Helge | nb_NO |
dc.contributor.author | Nordli, Anders Samuelsen | nb_NO |
dc.date.accessioned | 2014-12-19T13:59:53Z | |
dc.date.available | 2014-12-19T13:59:53Z | |
dc.date.created | 2012-11-08 | nb_NO |
dc.date.issued | 2012 | nb_NO |
dc.identifier | 566438 | nb_NO |
dc.identifier | ntnudaim:8006 | nb_NO |
dc.identifier.uri | http://hdl.handle.net/11250/259050 | |
dc.description.abstract | The Cauchy problem for a two-component Hunter-Saxton equation, begin{align*}(u_t+uu_x)_x&=frac{1}{2}u_x^2+frac{1}{2}rho^2,rho_t+(urho)_x) &= 0,end{align*}on $mathbb{R}times[0,infty)$ is studied. Conservative and dissipative weak solutions are defined and shown to exist globally. This is done by explicitly solving systems of ordinary differential equation in the Lagrangian coordinates, and using these solutions to construct semigroups of conservative and dissipative solutions. | nb_NO |
dc.language | eng | nb_NO |
dc.publisher | Institutt for matematiske fag | nb_NO |
dc.subject | ntnudaim:8006 | no_NO |
dc.subject | MTFYMA fysikk og matematikk | no_NO |
dc.subject | Industriell matematikk | no_NO |
dc.title | On the Hunter-Saxton equation | nb_NO |
dc.type | Master thesis | nb_NO |
dc.source.pagenumber | 61 | nb_NO |
dc.contributor.department | Norges teknisk-naturvitenskapelige universitet, Fakultet for informasjonsteknologi, matematikk og elektroteknikk, Institutt for matematiske fag | nb_NO |