Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Ivano Colombaro"'
Publikováno v:
Mathematics, Vol 9, Iss 18, p 2178 (2021)
In this paper, we review two related aspects of field theory: the modeling of the fields by means of exterior algebra and calculus, and the derivation of the field dynamics, i.e., the Euler–Lagrange equations, by means of the stationary action prin
Externí odkaz:
https://doaj.org/article/07c53a049804495281dead08fff295c4
Publikováno v:
Mathematics, Vol 7, Iss 6, p 564 (2019)
The basic concepts of exterior calculus for space−time multivectors are presented: Interior and exterior products, interior and exterior derivatives, oriented integrals over hypersurfaces, circulation and flux of multivector fields. Two Stokes theo
Externí odkaz:
https://doaj.org/article/20d4263f730f4566bea874e06befa97f
Publikováno v:
Mathematics, Vol 6, Iss 2, p 15 (2018)
In this paper, after a brief review of the physical notion of quality factor in viscoelasticity, we present a complete discussion of the attenuation processes emerging in the Maxwell–Prabhakar model, recently developed by Giusti and Colombaro. Then
Externí odkaz:
https://doaj.org/article/1a518c250be44008983f4eedb81c5f58
Publikováno v:
Acta Mechanica, 234 (6)
We investigate the specific attenuation factor for the Bessel models of viscoelasticity. We find that the quality factor for this class can be expressed in terms of Kelvin functions and that its asymptotic behaviours confirm the analytical results fo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::17933254fecc0c3dcb605ef91205eab9
Publikováno v:
Mathematics, Vol 9, Iss 2178, p 2178 (2021)
Mathematics
Volume 9
Issue 18
Mathematics
Volume 9
Issue 18
In this paper, we review two related aspects of field theory: the modeling of the fields by means of exterior algebra and calculus, and the derivation of the field dynamics, i.e., the Euler-Lagrange equations, by means of the stationary action princi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::494b454d0ddb65df640df135285a4932
https://www.mdpi.com/2227-7390/9/18/2178
https://www.mdpi.com/2227-7390/9/18/2178
Publikováno v:
The European Physical Journal Plus. 136
This paper characterizes the symmetric rank-2 stress-energy-momentum tensor associated with fields whose Lagrangian densities are expressed as the dot product of two multivector fields, e. g., scalar or gauge fields, in flat space-time. The tensor is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3b492f55d8ca530c1625f361042c0a04
https://doi.org/10.1140/epjp/s13360-021-01192-7
https://doi.org/10.1140/epjp/s13360-021-01192-7
This paper studies the relativistic angular momentum for the generalized electromagnetic field, described by $r$-vectors in $(k,n)$ space-time dimensions, with exterior-algebraic methods. First, the angular-momentum tensor is derived from the invaria
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8f4c536c2cf6ed0b322a8daa92461cf6
We present a derivation of a manifestly symmetric form of the stress-energy-momentum using the mathematical tools of exterior algebra and exterior calculus, bypassing the standard symmetrizations of the canonical tensor. In a generalized flat space-t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::94626886e70dfa9bb36317945a1b6b51
http://hdl.handle.net/10230/55529
http://hdl.handle.net/10230/55529
Autor:
Federico Polito, Roberto Garra, Ivano Colombaro, Francesco Mainardi, Roberto Garrappa, Andrea Giusti, Marina Popolizio
The Mittag-Leffler function is universally acclaimed as the Queen function of fractional calculus. The aim of this work is to survey the key results and applications emerging from the three-parameter generalization of this function, known as the Prab
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1cdfb44a4fb2a9c380483ab45dc9f1a0
http://hdl.handle.net/2318/1731084
http://hdl.handle.net/2318/1731084
This paper presents an exterior-algebra generalization of electromagnetic fields and source currents as multivectors of grades $r$ and $r-1$ respectively in a flat space-time with $n$ space and $k$ time dimensions. Formulas for the Maxwell equations
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dab03e28889d0655d8d7b828114c3e4e
http://hdl.handle.net/10230/44332
http://hdl.handle.net/10230/44332