New Distributional Global Solutions for the Hunter-Saxton Equation

In the setting of a distributional product, we consider a Riemann problem for the Hunter-Saxton equation [ut+((1/2)u2)x]x=(1/2)ux2 in a convenient space of discontinuous functions. With the help of a consistent extension of the classical solution concept, two classes of discontinuous solutions are o...

Full description

Bibliographic Details
Main Author: C. O. R. Sarrico
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/809095