The action principle and partial differential equations
Title Statements
- Full title :The action principle and partial differential equations / by Demetrios Christodoulou.
Edition Statements
- Publication Date:2000.
Publication Statements
- Publisher(s):Princeton University Press
- Place of Publication:Princeton, N.J
- Language:eng
- Publication Date:2000.
The Physical Object
- Description:1 online resource (viii, 319 pages)
Edition Identifiers
- ISBN:9781400882687, 1400882680
- oclc:ocn946346691
- LC Classification:QA1
- Dewey Decimal:510
Table of Contents
Cover; Title; Copyright; Dedication; Contents; General Introduction; 1; 1.0 Introduction; 1.1 The Lagrangian Picture; 1.2 The Hamiltonian Picture; 1.3 Examples; 2; 2.0 Introduction; 2.1 The Canonical and Symplectic Forms; 2.2 Symplectic Transformations; 2.3 The Equations of Variation; 2.4 The Circulation Theorem; 2.5 The Euler System; 2.6 Irrotational Solutions; 2.7 The Equation of Continuity; 3 ; 3.0 Introduction; 3.1 Compatible Currents; 3.2 Null Currents and Null Lagragians; 3.3 The Source Equations; 3.4 The Generic Case n> 1 & m> 2; 3.5 The Separable Case m> 2; 3.6 The Case m = 2.
3.7 Lie Flows and the Noether Current4; 4.1 Sections of Vector Bundles; 5; 5.0 Introduction; 5.1 Relative Lagrangians; 5.2 Ellipticity and Hyperbolicity; 5.3 The Domain of Dependence; 6; 6.1 The Electromagnetic Field; 6.2 Electromagnetic Symplectic Structure; 6.3 Electromagnetic Compatible Currents; 6.4 Causality in Electromagnetic Theory; Bibliography; Index.
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