.png){kind=icon}
返回
.png){kind=icon}
.png){kind=icon}
摘要
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.
Keyword:
inverse problems
water waves
partial differential equations
mathematical modeling
期刊
IF:
6.1
论文数:
888
被引数:
1.2W
机构
暂无机构信息
引用论文
Boronate sol–gel method for one-step fabrication of polyvinyl alcohol hydrogel coatings by simple cast- and dip-coating techniques.png)
RSC Advances.png)
OAAI
RSC AdvancesIF0
OAAI.png){kind=icon}
分享.png){kind=icon}
收藏分享收藏Enhancing the performance of photoelectrochemical glucose sensorviathe electron cloud bridge of Au in SrTiO3/PDA electrodesRSC Advances
OAAI
RSC AdvancesIF0
OAAI分享收藏
查看更多内容