On the global controllability of scalar conservation laws with boundary and source controls
Analysis of PDEs
2020-09-22 v2 Optimization and Control
Abstract
We provide global and semi-global controllability results for hyperbolic conservation laws on a bounded domain, with a general (not necessarily convex)flux and a time-dependent source term acting as a control. The results are achieved for, possibly critical, both continuously differentiable states and BV states. The proofs are based on a combination of the return method and on the analysis of the Riccati equaiton for the space derivative of the solution.
Keywords
Cite
@article{arxiv.2009.08433,
title = {On the global controllability of scalar conservation laws with boundary and source controls},
author = {Fabio Ancona and Khai T. Nguyen},
journal= {arXiv preprint arXiv:2009.08433},
year = {2020}
}
Comments
22 pages, 5 figures