Actio-reactio equations with finite wave speed derived from the principle of inertia
type: Item
instance of: scholarly article
title: Actio-reactio equations with finite wave speed derived from the principle of inertia
zbMATH Open document ID: 0706.35062
DOI: 10.1007/BF01187265
author: P. Mazilu
published in: Acta Mechanica
publication date: 1989-01-01T00:00:00Z
review text: One derives the general actio-reactio relationship under the assumption of the finite propagation speed of any type of interaction. In the derivation of the actio-reactio equations the mathematical theory of inertia developed by the author in a previous series of papers is systematically used. The basic results of this theory are given in a theorem defining the general representation of linear and continuous causal functionals which are compatible with the principle of inertia. Assuming the potentiality of actio and reactio forces, based on the compatibility with the principle of inertia as well on the invariance wit respect to a time translation and on the actio-reactio interchanging to a time reversal, the following set of equations is derived: \[ \partial \phi /\partial t=c\Delta \psi +a_ 1\phi -a_ 2\psi;\quad \partial \psi /\partial t=-c\Delta \phi +a_ 2\phi -a_ 1\psi. \] As an application these equations are applied to perform computations concerning the formation of the solar system. Further applications are given in a recently published paper ``Actio-reactio symmetry breaking model fitted to the new tower-mine gravity experiments'' [Ing.-Arch. 60, 410-417 (1990)].
Mathematics Subject Classification ID: 35K40
Mathematics Subject Classification ID: 35Q72
zbMATH DE Number: 4159235
zbMATH Keywords: actio-reactio equations
zbMATH Keywords: principle of inertia
MaRDI profile type: Publication
cites work: Q4773371
cites work: Q4404507
cites work: Q4147054
cites work: Die Onsagerschen Reziprozitätsbeziehungen in der Thermodynamik der Boltzmann-Volterra-Materialien
full work available at URL: https://doi.org/10.1007/bf01187265
OpenAlex ID: W2049291560
description: scientific article; zbMATH DE number 4159235