Research Group:
Speaker:
H. Holden
Institution:
Norwegian University of Science and TechnologyTrondheim, Norway
Schedule:
Thursday, October 27, 2005 - 10:00 to 11:00
Location:
room B
Abstract:
The Hunter-Saxton equation is a nonlinear partial differentialequation that has been used as a simple model for liquid crystals. Itcan be written as$(u_t+u u_x)_x=\frac12 (u_x)^2$. We study various finite differenceapproximations to this equations, and show that they converge to asolution of the equation. This is joint work with K. H. Karlsen andN.H. Risebro, both from University of Oslo.