Early-Warning Inverse Source Problem for the Elasto-Gravitational Equations

IF 1.9 4区数学 Q1 MATHEMATICS, APPLIED

SIAM Journal on Applied Mathematics Pub Date : 2024-05-03 DOI:10.1137/23m1564651

L. Baldassari, M. V. de Hoop, E. Francini, S. Vessella

引用次数: 0

Abstract

SIAM Journal on Applied Mathematics, Volume 84, Issue 3, Page 831-855, June 2024.
Abstract. Through coupled physics, we study an early-warning inverse source problem for the constant-coefficient 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.

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弹性引力方程的预警反源问题

SIAM 应用数学杂志》第 84 卷第 3 期第 831-855 页，2024 年 6 月。摘要。通过耦合物理，我们研究了恒系数弹性重力方程的预警反源问题。它由双曲-椭圆混合偏微分方程系统组成，描述了同质有界介质中的源产生的弹性波位移和重力扰动。在考林近似中，我们证明了从引力场变化的早期时间测量中恢复力矩张量和声源位置的逆问题的唯一性和 Lipschitz 稳定性。本文所研究的设置是基于重力的地震预警系统所激发的，该系统近来备受关注。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

SIAM Journal on Applied Mathematics 数学-应用数学

CiteScore

3.60

自引率

0.00%

发文量

审稿时长

12 months

期刊介绍： SIAM Journal on Applied Mathematics (SIAP) is an interdisciplinary journal containing research articles that treat scientific problems using methods that are of mathematical interest. Appropriate subject areas include the physical, engineering, financial, and life sciences. Examples are problems in fluid mechanics, including reaction-diffusion problems, sedimentation, combustion, and transport theory; solid mechanics; elasticity; electromagnetic theory and optics; materials science; mathematical biology, including population dynamics, biomechanics, and physiology; linear and nonlinear wave propagation, including scattering theory and wave propagation in random media; inverse problems; nonlinear dynamics; and stochastic processes, including queueing theory. Mathematical techniques of interest include asymptotic methods, bifurcation theory, dynamical systems theory, complex network theory, computational methods, and probabilistic and statistical methods.