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: General Covariance and the Foundations of General RelativityGeneral Covariance and the Foundations of General Relativity
by - University of Pittsburgh
This text reviews the development of Einstein's thought on general covariance (the fundamental physical principle of GTR), its relation to the foundations of general relativity and the evolution of the continuing debate over his viewpoint.
(11801 views)
Book cover: Complex Geometry of Nature and General RelativityComplex Geometry of Nature and General Relativity
by - arXiv
An attempt is made of giving a self-contained introduction to holomorphic ideas in general relativity, following work over the last thirty years by several authors. The main topics are complex manifolds, spinor and twistor methods, heaven spaces.
(18701 views)
Book cover: Mass and Angular Momentum in General RelativityMass and Angular Momentum in General Relativity
by - arXiv
We present an introduction to mass and angular momentum in General Relativity. After briefly reviewing energy-momentum for matter fields, first in the flat Minkowski case (Special Relativity) and then in curved spacetimes with or without symmetries.
(11034 views)
Book cover: Schwarzschild and Kerr Solutions of Einstein's Field Equation: an introductionSchwarzschild and Kerr Solutions of Einstein's Field Equation: an introduction
by - arXiv
Starting from Newton's gravitational theory, we give a general introduction into the spherically symmetric solution of Einstein's vacuum field equation, the Schwarzschild solution, and into one specific stationary solution, the Kerr solution.
(10015 views)