.png){kind=icon}
Return
Feynman's Inverse Problem
.png){kind=icon}
OA
AI
DOI：10.1137/23M1611488.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
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.
Keywords:
inverse problems
water waves
partial differential equations
mathematical modeling
Journal
IF:
6.1
Papers:
888
Citations:
1.2W
Organization
No organization information available
Cited Papers
Boronate sol–gel method for one-step fabrication of polyvinyl alcohol hydrogel coatings by simple cast- and dip-coating techniques.png)
RSC Advances
OAAI
RSC AdvancesIF0
OAAIShareSaveShareSaveShareSaveShareSaveEnhancing the performance of photoelectrochemical glucose sensorviathe electron cloud bridge of Au in SrTiO3/PDA electrodesRSC AdvancesOAAI
RSC AdvancesIF0
OAAIShareSave
View more