2019/07/12 by Modesto Salgado, Salgado, Modesto, Silvia Vilariño +1
Earth and Planetary Sciences · Engineering · Mathematics · Physics and Astronomy · #70S05 (primary) 49S05 (Secondary) #Advanced Differential Geometry Research #Dynamics and Control of Mechanical Systems #FOS: Physical sciences #Geophysics and Gravity Measurements #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph)
paper · pdf · doi:10.48550/arxiv.1907.05667
openalex publication_date 2019/07/12 · openalex created_date 2022/07/28 · openalex updated_date 2026/07/28
This work presents the variational principles and the intrinsic versions of\nseveral equations in field theories, in particular, for the Classical\nEuler-Lagrange field equations, the implicit Euler-Lagrange field equations and\nthe non-holonomic implicit Euler-Lagrange field equations. The advantages of\nthe variational and intrinsic versions of these equations is that the\nLagrangians functions are not necessary regular Lagrangians. We present two\nexamples of this situation: Navier's equations and the non-holonomic Cosserat\nrod. Finally we comment the Hamiltonian case when the Lagrangian is a\nhyperregular function.\n