Work

Equations of Motion and Navier–Stokes Equations

Year: 2025

Type: article

Abstract: In this research, we present the analogies between variational calculations in cosmology and in classical mechanics. Our approach is based on the invariants for transformations of affine connections defined on N-dimensional manifolds (special cases are the 8-dimensional, 5-dimensional, and 4-dimensional manifolds used in cosmology and 2-dimensional manifolds used in classical mechanics). Any of these transformations represents a class of curves on initial manifolds, which transmits to an another class of curves on the current manifolds. The main results of this paper are general equations of motion, which are obtained from the invariants caused by the transformation rule of an initial affine connection to the current one and the corresponding Navier–Stokes equations, recognized in transformations of curves along which moves a fluid particle.

Source: Computation

DOI: 10.3390/computation13090226

Authors: Dušan J. Simjanović, Ivana Djurišić, Aleksandra Penjišević, Marko Stefanović, Branislav M. Randjelović

Institutions: Metropolitan University, University of Belgrade, Institute for Multidisciplinary Research, Univerzitet Union Nikola Tesla, University of Nis

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,172

OpenAlex ID: W4414355253

FWCI:

Cites: 12

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