Nonlinear interaction of waves in elastodynamics and an inverse problem
Analysis of PDEs
2018-05-11 v1
Abstract
We consider nonlinear elastic wave equations generalizing Gol'dberg's five constants model. We analyze the nonlinear interaction of two distorted plane waves and characterize the possible nonlinear responses. Using the boundary measurements of the nonlinear responses, we solve the inverse problem of determining elastic parameters from the displacement-to-traction map.
Keywords
Cite
@article{arxiv.1805.03811,
title = {Nonlinear interaction of waves in elastodynamics and an inverse problem},
author = {Maarten de Hoop and Gunther Uhlmann and Yiran Wang},
journal= {arXiv preprint arXiv:1805.03811},
year = {2018}
}