Peculiarities of Space Dependent Conservation Laws: Inverse Design and Asymptotics
Analysis of PDEs
2023-05-16 v1
Abstract
Recently, results regarding the Inverse Design problem for Conservation Laws and Hamilton-Jacobi equations with space-dependent convex fluxes were obtaine. More precisely, characterizations of attainable sets and the set of initialdata evolving at a prescribed time into a prescribed profile were obtained. Here, wepresent an explicit example that underlines deep diff erences between the space-dependentand space-independent cases. Moreover, we add a detailed analysis of the time asymptoticsolution of this example, again underlining diff erences with the space-independent case.
Keywords
Cite
@article{arxiv.2305.08427,
title = {Peculiarities of Space Dependent Conservation Laws: Inverse Design and Asymptotics},
author = {Rinaldo M. Colombo and Vincent Perrollaz and Abraham Sylla},
journal= {arXiv preprint arXiv:2305.08427},
year = {2023}
}
Comments
arXiv admin note: text overlap with arXiv:2304.05092