Tulczyjew's derivations and intrinsic field equations in classical field theories

Autor:	Salgado, Modesto, Vilariño, Silvia
Rok vydání:	2019
Předmět:	Mathematical Physics 70S05 (primary) 49S05 (Secondary)
Druh dokumentu:	Working Paper
Popis:	This work presents the variational principles and the intrinsic versions of several equations in field theories, in particular, for the Classical Euler-Lagrange field equations, the implicit Euler-Lagrange field equations and the non-holonomic implicit Euler-Lagrange field equations. The advantages of the variational and intrinsic versions of these equations is that the Lagrangians functions are not necessary regular Lagrangians. We present two examples of this situation: Navier's equations and the non-holonomic Cosserat rod. Finally we comment the Hamiltonian case when the Lagrangian is a hyperregular function. Comment: 29 pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1907.05667 Zobrazit plný text záznamu View this record from Arxiv