The Navier-Stokes Equations

Matthias Köhne

Chapter 1 in Lp-Theory for Incompressible Newtonian Flows, 2013, pp 11-19 from Springer

Abstract: Abstract As mentioned in the introduction, the Navier-Stokes equations constitute the conservation of mass and momentum for incompressible Newtonian fluids. Of course, these basic equations of fluid dynamics as well as their derivation can be found in many popular and classical books, see e. g. [Lam32] or [Bat00]. However, we want to keep this thesis as self-contained as possible and present a short derivation of the Navier-Stokes equations based on the principles of continuum mechanics.

Keywords: Extensive Quantity; Rigid Body Rotation; Momentum Balance Equation; Viscous Stress Tensor; Material Frame (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/978-3-658-01052-2_1

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