Minimum variational principles for time-harmonic waves in a dissipative medium and associated variational principles of Hashin--Shtrikman type
Mathematical Physics
2015-05-18 v1 math.MP
Abstract
Minimization variational principles for linear elastodynamic, acoustic, or electromagnetic time-harmonic waves in dissipative media were obtained by Milton, Seppecher and Bouchitt\'e generalizing the quasistatic variational principles of Cherkaev and Gibiansky. Here a further generalization is made to allow for a much wider variety of boundary conditions, and in particular Dirichlet and Neumann boundary conditions. In addition minimization or maximization principles of the Hashin-Shtrikman type, incorporating "polarization fields", are developed.
Keywords
Cite
@article{arxiv.1001.2773,
title = {Minimum variational principles for time-harmonic waves in a dissipative medium and associated variational principles of Hashin--Shtrikman type},
author = {Graeme W. Milton and John R. Willis},
journal= {arXiv preprint arXiv:1001.2773},
year = {2015}
}
Comments
23 pages 0 figures