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- W2073526819 abstract "Considering simultaneously the equations of motion of the physical system and of the non-physical adjoint system, we introduce a general form of Noether's theorem by constructing a “dual Lagrangian” functional with a corresponding invariant of motion which preserves its value along the trajectories of combined physical and unphysical systems. The statement of invariance of this functional reduces to the classical statement of Noether's theorem if the system is self-adjoint; some possible generalizations are indicated. Applications to continuum mechanics are discussed within the framework of Noble's dual variational formulation." @default.
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- W2073526819 date "1980-05-01" @default.
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- W2073526819 title "A dual form of Noether's theorem with applications to continuum mechanics" @default.
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- W2073526819 doi "https://doi.org/10.1016/0022-247x(80)90321-2" @default.
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