Results 81 to 90 of about 232 (162)

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
doaj  

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
doaj   +1 more source

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, Plaatjie Karabo, Simbanefayi Innocent   +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
doaj  

Emmy Noether and Linear Evolution Equations

Acta Polytechnica, 2013
Noether’s Theorem relates the Action Integral of a Lagrangian with symmetries which leave it invariant and the first integrals consequent upon the variational principle and the existence of the symmetries. These each have an equivalent in the Schrödinger
P. G. L. Leach
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Nearly Periodic Maps and Geometric Integration of Noncanonical Hamiltonian Systems. [PDF]

J Nonlinear Sci, 2023
Burby JW, Hirvijoki E, Leok M.
europepmc   +1 more source

Fractional Time-Scales Noether’s Theorem for Non-Standard Birkhoffian System

Fractal and Fractional
In this work, Noether symmetries and conserved quantities of a non-standard Birkhoffian system based on the Caputo Δ Pfaff–Birkhoff principle on time scales are studied.
Zhenyu Wu, Chuanjing Song
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On the role of continuous symmetries in the solution of the three-dimensional Euler fluid equations and related models. [PDF]

Philos Trans A Math Phys Eng Sci, 2022
Bustamante MD.
europepmc   +1 more source