反断层摩擦问题中系数的稳定恢复

IF 2.6 1区数学 Q1 MATHEMATICS, APPLIED

Archive for Rational Mechanics and Analysis Pub Date : 2024-07-01 DOI:10.1007/s00205-024-02009-4

Maarten V. de Hoop, Matti Lassas, Jinpeng Lu, Lauri Oksanen

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引用次数: 0

摘要

我们考虑了确定 Tresca 摩擦模型中摩擦系数的逆断层摩擦问题，该问题可表述为微分不等式的逆问题。我们证明，在断裂过程中对弹性波的测量可唯一确定断裂面的摩擦系数，并具有明确的稳定性估计。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Stable Recovery of Coefficients in an Inverse Fault Friction Problem

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Stable Recovery of Coefficients in an Inverse Fault Friction Problem

We consider the inverse fault friction problem of determining the friction coefficient in the Tresca friction model, which can be formulated as an inverse problem for differential inequalities. We show that the measurements of elastic waves during a rupture uniquely determine the friction coefficient at the rupture surface with explicit stability estimates.

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来源期刊

Archive for Rational Mechanics and Analysis 物理-力学

CiteScore

5.10

自引率

8.00%

发文量

审稿时长

4-8 weeks

期刊介绍： The Archive for Rational Mechanics and Analysis nourishes the discipline of mechanics as a deductive, mathematical science in the classical tradition and promotes analysis, particularly in the context of application. Its purpose is to give rapid and full publication to research of exceptional moment, depth and permanence.