Partial Differential Equations of Physics
Abstract
Apparently, all partial differential equations that describe physical phenomena in spacetime can be cast into a universal quasilinear, firstorder form. In this paper, we do two things. First, we describe some broad features of systems of differential equations so formulated. Examples of such features include hyperbolicity of the equations, constraints and their roles (e.g., in connection with the initialvalue formulation), how diffeomorphism freedom is manifest, and how interactions between systems arise and operate. Second, we give a number of examples that illustrate how the equations for physical systems are cast into this form. These examples suggest that the firstorder, quasilinear form for a system is often not only the simplest mathematically, but also the most transparent physically.
 Publication:

General Relativity
 Pub Date:
 1996
 arXiv:
 arXiv:grqc/9602055
 Bibcode:
 1996gere.conf...19G
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 57 pages Latex, 0 figures