Titlebook: Non-commuting Variations in Mathematics and Physics; A Survey Serge Preston Book 2016 Springer International Publishing Switzerland 2016 Di

Mere仅仅

Twisted prolongations and the NC-variationsconfiguration bundle π : . → . to the jet spaces ..(π) (λ-.), new class of “symmetries” (λ-.) for the ordinary differential equations and the new method of the. of the ordinary differential equations ([102]) with the λ-symmetries corresponding to the λ-prolongations.

ORE

Applications: Holonomic and non-Holonomic Mechanics, H.Kleinert Action principle, Uniform Materials, non-commuting variations appears as a necessary tool for the formulation of Variational Equations. In all five situations considered in this chapter tensor . is related to (or even defined by) some geometrical structure present in the configurational bundle-affine connection, non-holonomic frames, absolute parallelism and its torsion.

Noctambulant

Material time, NC-Variations and the Material Aging we present the scheme allowing to obtain Entropy Balance as the Euler-Lagrange equation using the scalar field of thermasy - a quantity introduced by H.Helmholtz (see [58]) and used later in relativistic thermodynamics (D.van Dantzig, see vL,VD), thermoelasticity (A.Green and Nachdi) and Continuum Thermodynamics (G.Maugin).

炸坏

Serge PrestonA survey of non-commuting Variations in Mathematics and Physics.Presents and develops methods of analysis, potential classification and of study of dissipative patterns of behavior using classical met

SHRIK

Interaction of Mechanics and Mathematicshttp://image.papertrans.cn/n/image/667082.jpg

STANT

https://doi.org/10.1007/978-3-319-28323-4Differential Equations; Dissipation; Energy-momentum Balance Law; Entropy; Hamiltonian Systems; Mechanics

盟军

Basics of the Lagrangian Field TheoryIn this Chapter, we introduce the basic notions of Classical Lagrangian Field Theory of the first order - configurational bundle, action functional, Euler-Lagrange equations in the volume necessary in the main text.

虚构的东西

Lagrangian Field Theory with non-commuting variationsIn this chapter we define and study the . for a Lagrangian action.

原告

START

APPENDIX I. Fibre bundles and their geometrical structuresIn this section we introduce the Differentiable manifolds, their mappings and present some examples of these objects.