Steady-State Navier-Stokes Flow Around a Moving Body

Giovanni P. Galdi () and Jiří Neustupa ()
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Giovanni P. Galdi: University of Pittsburgh, Department of Mechanical Engineering and Materials Science
Jiří Neustupa: Czech Academy of Sciences, Institute of Mathematics

Chapter 7 in Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, 2018, pp 341-417 from Springer

Abstract: Abstract In this chapter we present an updated account of the fundamental mathematical results pertaining the steady-state flow of a Navier-Stokes liquid past a rigid body which is allowed to rotate. Precisely, we shall address questions of existence, uniqueness, regularity, asymptotic structure, generic properties, and (steady and unsteady) bifurcation. Moreover, we will perform a rather complete analysis of the longtime behavior of dynamical perturbation to the above flow, thus inferring, in particular, sufficient conditions for their stability and asymptotic stability.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-13344-7_7

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DOI: 10.1007/978-3-319-13344-7_7

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