Early-warning inverse source problem for the elasto-gravitational equations
Analysis of PDEs
2023-04-07 v1 Mathematical Physics
math.MP
Abstract
Through coupled physics, we study an early-warning inverse source problem for the elasto-gravitational equations. It consists of a mixed hyperbolic-elliptic system of partial differential equations describing elastic wave displacement and gravity perturbations produced by a source in a homogeneous bounded medium. Within the Cowling approximation, we prove uniqueness and Lipschitz stability for the inverse problem of recovering the moment tensor and the location of the source from early-time measurements of the changes of the gravitational field. The setup studied in this paper is motivated by gravity-based earthquake early warning systems, which are gaining much attention recently.
Cite
@article{arxiv.2304.03118,
title = {Early-warning inverse source problem for the elasto-gravitational equations},
author = {Lorenzo Baldassari and Maarten V. de Hoop and Elisa Francini and Sergio Vessella},
journal= {arXiv preprint arXiv:2304.03118},
year = {2023}
}
Comments
25 pages, 1 figure