Volume no :3, Issue no: 1, August 2009

COMPUTATIONAL ALGEBRA TECHNIQUES IN ELECTROMAGNETISM

Author's: F. Colombo, I. Sabadini, D. C. Struppa, A. Vajiac and M. Vajiac
Pages: [77] - [88]
Received Date: December 27, 2008
Submitted by:

Abstract

This paper shows how to apply some ideas of algebraic analysis to the study of a couple of systems of physical interest. In addition to giving an overview of what has already been done in [3] for the Maxwell\'s equations, in this paper we also consider the potentials. Finally, we treat the anti-self-dual Abelian Yang-Mills equations.

Keywords

PDE systems, syzygy, resolutions, compatibility conditions, Maxwell’s equations, Yang-Mills equations.