Displaying similar documents to “Variational principles for differential equations with symmetries and conservation laws. II. Polynomial differential equations.”

Max Noether

F. SEVERI, G. Castelnuovo, F. Enriques (1925)

Mathematische Annalen

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The calculus of variations on jet bundles as a universal approach for a variational formulation of fundamental physical theories

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As widely accepted, justified by the historical developments of physics, the background for standard formulation of postulates of physical theories leading to equations of motion, or even the form of equations of motion themselves, come from empirical experience. Equations of motion are then a starting point for obtaining specific conservation laws, as, for example, the well-known conservation laws of momenta and mechanical energy in mechanics. On the other hand, there are numerous examples...