Asymptotic stabilization of stationnary shock waves using a boundary feedback law
Analysis of PDEs
2018-01-22 v1 Optimization and Control
Abstract
In this paper we consider scalar conservation laws with a convex flux. Given a stationnary shock, we provide a feedback law acting at one boundary point such that this solution is now asymptotically stable in L 1-norm in the class of entropy solution.
Keywords
Cite
@article{arxiv.1801.06335,
title = {Asymptotic stabilization of stationnary shock waves using a boundary feedback law},
author = {Vincent Perrollaz},
journal= {arXiv preprint arXiv:1801.06335},
year = {2018}
}