Navier–Stokes Equations

  • Wolfgang KollmannEmail author


The dynamics of the Newtonian fluids considered here are determined by the laws of classical mechanics, a selection of references for the derivation of the fundamental pdes from these laws are Lamb [1], Landau and Lifshitz [2], Serrin [3], Majda and Bertozzi [4], Wu et al. [5]. The description and analysis of fully developed turbulent flows is the central theme. Turbulence in superfluids, i.e. liquid helium below the \(\lambda \)-temperature \(T=2.17\) K at atmospheric pressure, exhibits properties similar to turbulence in classical Newtonian fluids for vanishing viscosity, but are also subject to quantum-mechanical phenomena that do not have counterparts in classical fluid mechanics.


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Authors and Affiliations

  1. 1.Department of Mechanical EngineeringUniversity of California DavisDavisUSA

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