Published August 2010
| Version v1
Journal article
A unified framework for mechanics: Hamilton–Jacobi equation and applications
- 1. Instituto de Matematica Pura e Aplicada (IMPA), Estrada Dona Castorina 110, 22460-320 Rio de Janeiro (Brazil)
- 2. Unidad Asociada ULL-CSIC Geometría Diferencial y Mecánica Geométrica, Departamento de Matemática Fundamental, Facultad de Matemáticas, Universidad de la Laguna, La Laguna, Tenerife, Canary Islands (Spain)
- 3. Instituto de Ciencias Matemáticas (CSIC-UAM-UC3M-UCM), Serrano 123, 28006 Madrid (Spain)
Description
In this paper, we construct Hamilton–Jacobi equations for a large variety of mechanical systems (nonholonomic systems subjected to linear or affine constraints, dissipative systems subjected to external forces, time-dependent mechanical systems etc). We recover all these, in principle, different cases, using a unified framework based on skew-symmetric algebroids with a distinguished 1-cocycle. Several examples illustrate the theory
Availability note (English)
Available from http://dx.doi.org/10.1088/0951-7715/23/8/006Additional details
Identifiers
- DOI
- 10.1088/0951-7715/23/8/006;
- PII
- S0951-7715(10)45296-2;
Publishing Information
- Journal Title
- Nonlinearity (Print)
- Journal Volume
- 23
- Journal Issue
- 8
- Journal Page Range
- p. 1887-1918
- ISSN
- 0951-7715
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 45034579
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- HAMILTON-JACOBI EQUATIONS; LIMITING VALUES; MECHANICS; SYMMETRY; TIME DEPENDENCE
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS