从压力测量反演水波剖面
斑图形成与孤子
2011-12-09 v1 流体动力学
摘要
提出了一种新方法，用于根据流体底部获得的压力数据反演水波表面高程。该方法需要数值求解一个非局部非线性方程，该方程描述了压力与表面高程之间的关系，其源自无近似的水波问题欧拉公式。基于该新方程，推导了多种不同的渐近公式。将非局部方程和渐近公式与数值数据及物理实验进行了比较。利用隐函数定理严格分析了非局部方程的可解性性质。
引用
@article{arxiv.1112.1739,
title = {Recovering the Water-Wave Profile from Pressure Measurements},
author = {Katie Oliveras and Vishal Vasan and Bernard Deconinck and Diane Henderson},
journal= {arXiv preprint arXiv:1112.1739},
year = {2011}
}
备注
24 pages, 7 figures, Expanded version of "Recovering the water-wave surface from pressure measurements", Published in the 10th International Conference on Mathematical and Numerical Aspects of Waves (Refereed Proceedings, WAVES 2011, Vancouver July 25-29, 2011