Results 91 to 100 of about 1,719 (178)
Covariant conservation laws, local invariance and Noether’s second theorem
European Physical Journal C: Particles and FieldsWe lay down a set of requirements for a field theory to produce a covariant conservation law out of Noether’s second theorem, and show that neither local invariance implies a covariant conservation law, nor the existence of a covariant conservation law ...
Nuno Barros e Sá +2 more
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Conserved quantities of Euler-Lagrange system via complex Lagrangian. [PDF]
Heliyon, 2023 Farooq MU, Naseem A, Wafo Soh C.
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Noether’s theorem applied to GENERIC
Continuum Mechanics and ThermodynamicsThe last decades have seen growing interest in connecting principles of thermodynamics with methods from analytical mechanics. The thermodynamic formalism has become an inspiring framework in the study of smooth dynamical systems, and pioneering works of Helmholtz, Clausius, and Boltzmann have been reinstated as possible dynamical foundations of the ...
Beyen, Aaron, Maes, Christian
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Equivariance, Variational Principles, and the Feynman Integral
Symmetry, Integrability and Geometry: Methods and Applications, 2008 We argue that the variational calculus leading to Euler's equations and Noether's theorem can be replaced by equivariance and invariance conditions avoiding the action integral.
George Svetlichny
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On the concept of (homo)morphism : a key notion in the learning of abstract algebra
, 2013 This article is dedicated to the investigation of difficulties involved in the understanding of the homomorphism concept. It doesn't restrict to group-theory but on the contrary raises the issue of developing teaching strategies aiming at gaining access ...
Hausberger, Thomas
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Higher-Stage Noether Identities and Second Noether Theorems [PDF]
Advances in Mathematical Physics, 2015 The direct and inverse second Noether theorems are formulated in a general case of reducible degenerate Grassmann-graded Lagrangian theory of even and odd variables on graded bundles. Such Lagrangian theory is characterized by a hierarchy of nontrivial higher-stage Noether identities which is described in the homology terms.
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Pohozhaev and Morawetz Identities in Elastostatics and Elastodynamics
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We construct identities of Pohozhaev type, in the context of elastostatics and elastodynamics, by using the Noetherian approach. As an application, a non-existence result for forced semi-linear isotropic and anisotropic elastic systems is established.
Yuri Bozhkov, Peter J. Olver
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Exact solutions of equal-width equation and its conservation laws
Open Physics, 2019 In this work we investigate the equal-width equation, which is used for simulation of (1-D) wave propagation in non-linear medium with dispersion process.
Khalique Chaudry Masood +2 more
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An analogue of Max Noether’s theorem
Duke Mathematical Journal, 1985 It is a general hope that basic properties of complete intersections remain true for dependency loci of sections of an ample vector bundle. Along this line the author proves the following generalisation of Max Noether's theorem [see \textit{P. Deligne}, Sém. Géom. algébr. 1967- 1968, SGA 7 II, Lect. Notes Math.
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Birkhoff's Theorem from a geometric perspective: A simple example [PDF]
Categories and General Algebraic Structures with Applications, 2016 From Hilbert's theorem of zeroes, and from Noether's ideal theory, Birkhoff derived certain algebraic concepts (as explained by Tholen) that have a dual significance in general toposes, similar to their role in the original examples of algebraic ...
F. William Lawvere
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