Results 71 to 80 of about 243 (181)
Noether’s theorem and the Willmore functional [PDF]
Advances in Calculus of Variations, 2016 AbstractNoether’s theorem and the invariances of the Willmore functional are used to derive conservation laws that are satisfied by the critical points of the Willmore energy subject to generic constraints. We recover in particular previous results independently obtained by R. Capovilla and J. Guven, and by T. Rivière.
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Loss of pseudo-momentum, energy-release rate and the effective mass of a moving dislocation. [PDF]
Philos Trans A Math Phys Eng Sci, 2023 Markenscoff X.
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Applied Mathematics, 2018 We discuss Noether’s theorem from a new perspective and show that the spatial continuous symmetries of a system are on one hand symmetries of the space and on the other hand are dictated by the system’s potential energy. The Noether’s charges arising from an infinitesimal motion, or a Killing vector field, of the space, are conserved if the Lie ...
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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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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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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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Noether's theorem in multisymplectic geometry
Differential Geometry and its Applications, 2018 36 pages. For version 2: Incorporated the referee's suggestions and fixed some typos.
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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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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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