费曼逆问题

IF 12.7 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

ACS Central Science Pub Date : 2024-11-07 DOI:10.1137/23m1611488

Adrian Kirkeby

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引用次数: 0

摘要

SIAM Review》，第 66 卷第 4 期，第 694-718 页，2024 年 11 月。我们分析了理查德-费曼（Richard Feynman）在英国广播公司纪录片《想象的乐趣》（Fun to Imagine）中提出的水波逆问题。我们表明，该问题可以建模为重力-毛细管波的反考希问题，对考希问题进行了详细分析，并给出了反问题的唯一性证明。出人意料的是，这对费曼的问题给出了肯定的答案。此外，我们还推导了连续和离散测量逆问题的稳定性估计，提出了一种简单的反演方法，并进行了数值实验来验证我们的结果。

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Feynman's Inverse Problem

SIAM Review, Volume 66, Issue 4, Page 694-718, November 2024.
We analyze an inverse problem for water waves posed by Richard Feynman in the BBC documentary Fun to Imagine. We show that the problem can be modeled as an inverse Cauchy problem for gravity-capillary waves, conduct a detailed analysis of the Cauchy problem, and give a uniqueness proof for the inverse problem. Somewhat surprisingly, this results in a positive answer to Feynman's question. In addition, we derive stability estimates for the inverse problem for both continuous and discrete measurements, propose a simple inversion method, and conduct numerical experiments to verify our results.

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来源期刊

ACS Central Science Chemical Engineering-General Chemical Engineering

CiteScore

25.50

自引率

0.50%

发文量

194

审稿时长

10 weeks

期刊介绍： ACS Central Science publishes significant primary reports on research in chemistry and allied fields where chemical approaches are pivotal. As the first fully open-access journal by the American Chemical Society, it covers compelling and important contributions to the broad chemistry and scientific community. "Central science," a term popularized nearly 40 years ago, emphasizes chemistry's central role in connecting physical and life sciences, and fundamental sciences with applied disciplines like medicine and engineering. The journal focuses on exceptional quality articles, addressing advances in fundamental chemistry and interdisciplinary research.