A Weak Solvability of the Navier-Stokes Equation with Navier’s Boundary Condition Around a Ball Striking theWall

Jiřί Neustupa () and Patrick Penel ()
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Jiřί Neustupa: Mathematical Institute of the Czech Academy of Sciences
Patrick Penel: Université du Sud Toulon–Var, Département de Mathématique & Laboratoire “Systémes Navals Complexes„

A chapter in Advances in Mathematical Fluid Mechanics, 2010, pp 385-407 from Springer

Abstract: Abstract There exists a series of other works dealing with flows in time varying domains that concern the motion of one or more bodies in a fluid. The fluid and the bodies are studied as an interconnected system so that the position of the bodies in the fluid is not apriori known. The weak solvability of such a problem, provided the bodies do not touch each other or they do not strike the boundary, was proved by B. Desjardins and M. J. Esteban [4, 5], K. H. Hoffmann and V. N. Starovoitov [13] (the 2D case), C. Conca et al. [2] and M. D. Gunzburger et al. [12].

Keywords: Navier-Stokes equations; Weak solution; Navier’s boundary condition (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-04068-9_24

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DOI: 10.1007/978-3-642-04068-9_24

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