The r-Hunter-Saxton equation, smooth and singular solutions and their approximation
Analysis of PDEs
2020-12-02 v2 Exactly Solvable and Integrable Systems
Abstract
In this work we introduce the r-Hunter-Saxton equation, a generalisation of the Hunter-Saxton equation arising as extremals of an action principle posed in L_r. We characterise solutions to the Cauchy problem, quantifying the blow-up time and studying various symmetry reductions. We construct piecewise linear functions and show that they are weak solutions to the r-Hunter-Saxton equation.
Keywords
Cite
@article{arxiv.1911.09619,
title = {The r-Hunter-Saxton equation, smooth and singular solutions and their approximation},
author = {Colin Cotter and Jacob Deasy and Tristan Pryer},
journal= {arXiv preprint arXiv:1911.09619},
year = {2020}
}
Comments
Revised after referee comments