Webster's equation with curvature and dissipation
Analysis of PDEs
2015-03-20 v3 Dynamical Systems
Abstract
Wave propagation in curved tubular domains is considered. A general version of Webster's equation is derived from the scattering passive wave equation. More precisely, it is shown that planar averages of a sufficiently smooth solution of the wave equation satisfy the corresponding Webster's equation when the latter includes additional control signals determined by the solution.
Cite
@article{arxiv.1204.4075,
title = {Webster's equation with curvature and dissipation},
author = {Teemu Lukkari and Jarmo Malinen},
journal= {arXiv preprint arXiv:1204.4075},
year = {2015}
}
Comments
27pp., 3pp. appendix, 3 figures