Mathematical-Physical Approach to Prove that the Navier-Stokes Equations Provide a Correct Description of Fluid Dynamics
Mathematical Physics
DOI:
https://doi.org/10.55672/hij2022pp97-102Keywords:
Navier-Stokes equations, Fluid dynamicsAbstract
This publication takes a mathematical approach to a general solution to the Navier-Stokes equations. The basic idea is a mathematical analysis of the unipolar induction according to Faraday with the help of the vector analysis. The vector analysis enables the unipolar induction and the Navier-Stokes equations to be related physically and mathematically, since both formulations are mathematically equivalent. Since the unipolar induction has proven itself in practice, it can be used as a reference for describing the Navier-Stokes equations.
Downloads
Author Biography
Andreas Martin, Postfach (PO Box ) 2102, 26655 Westerstede, Germany
Andreas Martin
Postfach (PO Box ) 2102, 26655 Westerstede, Germany
References
[1] A. G. J. R. o. M. P. Ramm, "Navier-Stokes equations paradox," vol. 88, no. 1, pp. 41-45, 2021.
[2] H. Grassmann, Die lineale Ausdehnungslehre ein neuer Zweig der Mathematik: dargestellt und durch Anwendungen auf die übrigen Zweige der Mathematik, wie auch auf die Statik, Mechanik, die Lehre vom Magnetismus und die Krystallonomie erläutert. O. Wigand, 1844.
[3] R. Becker, Theorie der Elektrizität: Band 1: Einführung in die Maxwellsche Theorie, Elektronentheorie. Relativitätstheorie. Springer-Verlag, 2013.
[4] A. Quarteroni, "Reduced basis approximation for parametrized partial differential equations," in Numerical Models for Differential Problems: Springer, 2014, pp. 585-633.
[5] T. Schneider, "Die Unipolarmaschine zweiter Art," 2015.
[6] F. Irgens, Continuum mechanics. Springer Science & Business Media, 2008.
[7] L. Barreiro, J. Campanha, R. J. P. A. S. M. Lagos, and i. Applications, "The thermohydrodynamical picture of Brownian motion via a generalized Smoluchowsky equation," vol. 283, no. 1-2, pp. 160-165, 2000.
Published
How to Cite
Issue
Section
License
Copyright (c) 2022 Hyperscience International Journal
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
