Time-period flow of a viscous liquid past a body

2016/09/30 by Giovanni P. Galdi, Galdi, Giovanni P., Mads Kyed +1 · 1 citation
Engineering · Mathematics · #35B10 #35Q30 #76D03 #76D05 #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Lattice Boltzmann Simulation Studies #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.1609.09829

openalex publication_date 2016/09/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Time-periodic solutions to the Navier-Stokes equations that govern the flow of a viscous liquid past a three-dimensional body moving with a time-periodic velocity are investigated. The net motion of the body over a full time-period is assumed to be non-zero. In this case the appropriate linearization of the system is constituted by the time-periodic Oseen equations in a three-dimensional exterior domain. A priori Lp estimates are established for this linearization. Based on these estimates, existence of a solution to the fully non-linear Navier-Stokes problem is obtained by the contraction mapping principle.

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