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|a 9783039282357
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|a 9783039282340
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|a books978-3-03928-235-7
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|a Paliathanasis, Andronikos
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| 245 |
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|a Noether's Theorem and Symmetry
|h Elektronische Ressource
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| 260 |
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|b MDPI - Multidisciplinary Digital Publishing Institute
|c 2020
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| 300 |
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|a 1 electronic resource (186 p.)
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|a Noether's theorem
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|a quasi-Noether systems
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|a Lagrange anchor
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|a invariant solutions
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|a invariant
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|a approximate symmetry and solutions
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|a n/a
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|a generalized symmetry
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|a Lie symmetries
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|a variational principle
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|a conservation laws
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|a FLRW spacetime
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|a optimal system
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|a quasi-Lagrangians
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|a Noether operator identity
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|a group-invariant solutions
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|a wave equation
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|a optimal systems
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|a action integral
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|a Noether operators
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|a first integrals
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|a symmetry reduction
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|a conservation law
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|a Noether symmetries
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|a multiplier method
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|a double dispersion equation
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|a nonlocal transformation
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|a boundary term
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|a Gauss-Bonnet cosmology
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|a viscoelasticity
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|a Lie symmetry
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|a systems of ODEs
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|a partial differential equations
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|a lie symmetries
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|a roots
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|a integrable nonlocal partial differential equations
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|a analytic mechanics
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|a Kelvin-Voigt equation
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|a continuous symmetry
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|a spherically symmetric spacetimes
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|a Boussinesq equation
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|a symmetries
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|a energy-momentum tensor
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|a modified theories of gravity
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|a Noether symmetry approach
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|a first integral
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1 |
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|a Leach, P.G.L.
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b DOAB
|a Directory of Open Access Books
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| 500 |
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|a Creative Commons (cc), https://creativecommons.org/licenses/by-nc-nd/4.0/
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|a 10.3390/books978-3-03928-235-7
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| 856 |
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|u https://directory.doabooks.org/handle/20.500.12854/54710
|z DOAB: description of the publication
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| 856 |
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|u https://www.mdpi.com/books/pdfview/book/2056
|7 0
|x Verlag
|3 Volltext
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|a 333
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|a 700
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|a 340
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|a In Noether's original presentation of her celebrated theorem of 1918, allowances were made for the dependence of the coefficient functions of the differential operator which generated the infinitesimal transformation of the Action Integral upon the derivatives of the dependent variable(s), the so-called generalized, or dynamical, symmetries. A similar allowance is to be found in the variables of the boundary function, often termed a gauge function by those who have not read the original paper. This generality was lost after texts such as those of Courant and Hilbert or Lovelock and Rund confined attention to only point transformations. In recent decades, this diminution of the power of Noether's Theorem has been partly countered, in particular, in the review of Sarlet and Cantrijn. In this Special Issue, we emphasize the generality of Noether's Theorem in its original form and explore the applicability of even more general coefficient functions by allowing for nonlocal terms. We also look at the application of these more general symmetries to problems in which parameters or parametric functions have a more general dependence upon the independent variables.
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