A unifying perspective on linear continuum equations prevalent in science. Part II: Canonical forms for time-harmonic equations
Mathematical Physics
2023-01-03 v5 Analysis of PDEs
math.MP
Classical Physics
Abstract
Following some past advances, we reformulate a large class of linear continuum science equations in the format of the extended abstract theory of composites so that we can apply this theory to better understand and efficiently solve those equations. Here in part II we elucidate the form for many time-harmonic equations that do not involve higher order gradients.
Cite
@article{arxiv.2006.02433,
title = {A unifying perspective on linear continuum equations prevalent in science. Part II: Canonical forms for time-harmonic equations},
author = {Graeme W. Milton},
journal= {arXiv preprint arXiv:2006.02433},
year = {2023}
}
Comments
24 pages, 2 figures, What were called the Milton-Briane-Willis equations are now, more correctly, called the local Willis equations