Poisson structure for hyperbolic heat conduction

We use the method of extending the space of macroscopic variables (Gambar and Markus, 1994) to construct a Hamilton-Lagrange scheme for hyperbolic transport. Specifically, we propose a Lagrangian density to obtain the telegraphist type equations as the Euler-Lagrange equation of a Hamilton variation...

ver descrição completa

Detalhes bibliográficos
Autores: Vazquez, F, delRio, JA
Formato: artículo
Estado:Versión publicada
Fecha de publicación:1996
País:México
Recursos:Universidad Nacional Autónoma de México
Repositorio:Sistema de Información de la Facultad de Ciencias, UNAM
OAI Identifier:oai:repositorio.fciencias.unam.mx:11154/3409
Acesso em linha:http://hdl.handle.net/11154/3409
Access Level:acceso abierto
Palavra-chave:Physics, Multidisciplinary
Descrição
Resumo:We use the method of extending the space of macroscopic variables (Gambar and Markus, 1994) to construct a Hamilton-Lagrange scheme for hyperbolic transport. Specifically, we propose a Lagrangian density to obtain the telegraphist type equations as the Euler-Lagrange equation of a Hamilton variational principle. Two evolution equations for the components of a conjugated variables space are obtained from the modified Hamilton principle. These equations are particular cases of a more general time evolution equations which contains a Poisson bracket with the Hamiltonian density as the movement generator. The bracket satisfies the Jacobi's identity giving us a Poisson structure for the problem. We discuss some aspects of the time evolution of fluctuations ot the temperature in a rigid heat conductor solid.

Registos relacionados