Change search
ReferencesLink to record
Permanent link

Direct link
On the Hunter-Saxton equation
Norwegian University of Science and Technology, Faculty of Information Technology, Mathematics and Electrical Engineering, Department of Mathematical Sciences.
2012 (English)MasteroppgaveStudent thesis
Abstract [en]

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.

Place, publisher, year, edition, pages
Institutt for matematiske fag , 2012. , 61 p.
Keyword [no]
ntnudaim:8006, MTFYMA fysikk og matematikk, Industriell matematikk
URN: urn:nbn:no:ntnu:diva-19057Local ID: ntnudaim:8006OAI: diva2:566438
Available from: 2012-11-08 Created: 2012-11-08

Open Access in DiVA

fulltext(615 kB)557 downloads
File information
File name FULLTEXT01.pdfFile size 615 kBChecksum SHA-512
Type fulltextMimetype application/pdf
cover(184 kB)16 downloads
File information
File name COVER01.pdfFile size 184 kBChecksum SHA-512
Type coverMimetype application/pdf

By organisation
Department of Mathematical Sciences

Search outside of DiVA

GoogleGoogle Scholar
Total: 557 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 127 hits
ReferencesLink to record
Permanent link

Direct link