Mere仅仅
发表于 2025-3-23 10:54:28
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 () with the λ-symmetries corresponding to the λ-prolongations.
ORE
发表于 2025-3-23 14:09:54
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
发表于 2025-3-23 21:14:56
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 ) and used later in relativistic thermodynamics (D.van Dantzig, see vL,VD), thermoelasticity (A.Green and Nachdi) and Continuum Thermodynamics (G.Maugin).
炸坏
发表于 2025-3-24 00:12:27
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
发表于 2025-3-24 03:02:38
Interaction of Mechanics and Mathematicshttp://image.papertrans.cn/n/image/667082.jpg
STANT
发表于 2025-3-24 06:51:46
https://doi.org/10.1007/978-3-319-28323-4Differential Equations; Dissipation; Energy-momentum Balance Law; Entropy; Hamiltonian Systems; Mechanics
盟军
发表于 2025-3-24 14:42:46
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
发表于 2025-3-24 15:20:47
Lagrangian Field Theory with non-commuting variationsIn this chapter we define and study the . for a Lagrangian action.
原告
发表于 2025-3-24 19:20:39
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START
发表于 2025-3-25 02:56:15
APPENDIX I. Fibre bundles and their geometrical structuresIn this section we introduce the Differentiable manifolds, their mappings and present some examples of these objects.