Results 31 to 40 of about 232 (162)

Comparison of Different Approaches to Construct First Integrals for Ordinary Differential Equations

Abstract and Applied Analysis, 2014
Different approaches to construct first integrals for ordinary differential equations and systems of ordinary differential equations are studied here. These approaches can be grouped into three categories: direct methods, Lagrangian or partial Lagrangian
Rehana Naz, Igor Leite Freire, Imran Naeem   +2 more
doaj   +1 more source

A Geometric Interpretation for the Algebraic Properties of Second‐Order Ordinary Differential Equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6912-6917, April 2025.
ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis, S. Moyo, P. G. L. Leach   +2 more
wiley   +1 more source

The classical theory of calculus of variations for generalized functions

Advances in Nonlinear Analysis, 2017
We present an extension of the classical theory of calculus of variations to generalized functions. The framework is the category of generalized smooth functions, which includes Schwartz distributions, while sharing many nonlinear properties with ...
Lecke Alexander, Luperi Baglini Lorenzo, Giordano Paolo   +2 more
doaj   +1 more source

Scaling turbulence drives the general circulation

Quarterly Journal of the Royal Meteorological Society, EarlyView.
The NOAA Gulfstream SP4, which deployed the GPS dropsondes over the NE Pacific Ocean as part of the Winter Storms Project during the January–March periods of 2004, 2005 and 2006. Abstract Statistical multifractal analysis of airborne and dropsonde observations is used to show that persistence of velocity after molecular collisions breaks the continuous
Adrian F. Tuck
wiley   +1 more source

On computing local monodromy and the numerical local irreducible decomposition

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards, Jonathan D. Hauenstein   +1 more
wiley   +1 more source

The equivalence principle is NOT a Noether symmetry

European Physical Journal C: Particles and Fields
The connection between the equivalence principle and Noether’s theorem was discussed in Capozziello and Ferrara (Int J Geom Methods Mod Phys 21:2440014, 2024).
Andronikos Paliathanasis
doaj   +1 more source

Rational points on even‐dimensional Fermat cubics

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley   +1 more source

Noether theorems and reality of motion [PDF]

The Fourteenth Marcel Grossmann Meeting, 2017
7 pages, some more typos corrected; presented 14th Marcel Grossmann Meeting, session History of Relativity and ...
Palese, M., Winterroth, E.
openaire   +2 more sources

Non‐Uniqueness, Symmetries and Invariance of Thermal History Modelling in Sedimentary Basins

Basin Research, Volume 38, Issue 4, July–August 2026.
This paper approaches non‐unique inverse problems by generating a representative ensemble of all possible solutions using the concept of symmetry. In the context of basin modelling, a symmetry is any manipulation of a forward model's parameters (e.g., thermal history) that leaves the model output (e.g., downhole vitrinite reflectance) unchanged ...
J. Xiao, D. Waltham, Y. Wang
wiley   +1 more source

Gauge invariant Noether’s theorem and the proton spin crisis

Journal of High Energy Physics, 2018
Due to proton spin crisis it is necessary to understand the gauge invariant definition of the spin and orbital angular momentum of the quark and gluon from first principle.
Gouranga C. Nayak
doaj   +1 more source