A Lipschitz metric for $\alpha$-dissipative solutions to the Hunter-Saxton equation
Analysis of PDEs
2024-06-25 v2
Abstract
We explore the Lipschitz stability of solutions to the Hunter-Saxton equation with respect to the initial data. In particular, we study the stability of -dissipative solutions constructed using a generalised method of characteristics approach, where is a function determining the energy loss at each position in space.
Keywords
Cite
@article{arxiv.2302.07150,
title = {A Lipschitz metric for $\alpha$-dissipative solutions to the Hunter-Saxton equation},
author = {Katrin Grunert and Matthew Tandy},
journal= {arXiv preprint arXiv:2302.07150},
year = {2024}
}
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43 pages