Weak geodesic flow and global solutions of the Hunter-saxton equation
2007 (English)In: Discrete and Continuous Dynamical Systems, ISSN 1078-0947, E-ISSN 1553-5231, Vol. 18, no 4, 643-656 p.Article in journal (Refereed) Published
We show how global weak solutions of the Hunter-Saxton equation can be naturally constructed using the geometric interpretation of the equation as the Euler equation for the geodesic flow on an L2-sphere. The approach involves forming a weak extension of the geodesic flow and relating it to a corresponding weak formulation of the Hunter-Saxton equation.
Place, publisher, year, edition, pages
2007. Vol. 18, no 4, 643-656 p.
Global weak solutions, Hunter-Saxton equation, Weak geodesic flow
IdentifiersURN: urn:nbn:se:kth:diva-163834ISI: 000247114000004ScopusID: 2-s2.0-35248813847OAI: oai:DiVA.org:kth-163834DiVA: diva2:802359
QC 201504162015-04-122015-04-122015-04-16Bibliographically approved