Logo

Partial Differential Equations of Physics

Small book cover: Partial Differential Equations of Physics

Partial Differential Equations of Physics
by

Publisher: arXiv
Number of pages: 57

Description:
All partial differential equations that describe physical phenomena in space-time can be cast into a universal quasilinear, first-order form. 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, how diffeomorphism freedom is manifest, and how interactions between systems arise and operate.

Home page url

Download or read it online for free here:
Download link
(500KB, PDF)

Similar books

Book cover: An Introduction to the Theory of Rotating Relativistic StarsAn Introduction to the Theory of Rotating Relativistic Stars
by - arXiv
These notes introduce the theory of rotating stars in general relativity. The focus is on the theoretical foundations, with a detailed discussion of the spacetime symmetries, the choice of coordinates and the derivation of the equations of structure.
(12022 views)
Book cover: Post-Newtonian Theory for the Common ReaderPost-Newtonian Theory for the Common Reader
by - University of Guelph
From the table of contents: Preliminaries; Integration techniques; First post-Minkowskian approximation; Second post-Minkowskian approximation; Equations of motion; Gravitational waves; Energy radiated and radiation reaction.
(9912 views)
Book cover: Introduction to Differential Geometry and General RelativityIntroduction to Differential Geometry and General Relativity
by
Smooth manifolds and scalar fields, tangent vectors, contravariant and covariant vector fields, tensor fields, Riemannian manifolds, locally Minkowskian manifolds, covariant differentiation, the Riemann curvature tensor, premises of general relativity.
(22788 views)
Book cover: Introduction to General RelativityIntroduction to General Relativity
by - Rinton Press
The book presents the general relativity as a scheme for describing the gravitational field and the equations it obeys. Starting from physical motivations, curved coordinates are introduced, and then the notion of an affine connection field is added.
(14337 views)