A Potential-Theoretic Approach to the Time-Dependent Oseen System

Paul Deuring ()
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Paul Deuring: Univ Lille Nord de France

A chapter in Advances in Mathematical Fluid Mechanics, 2010, pp 191-214 from Springer

Abstract: Abstract We consider an initial-boundary value problem for the time-dependent Oseen system in a 3D exterior domain. This problem is reduced to an integral equation for the single layer potential related to the the Oseen system. The resolution of this integral equation, in turn, is reduced to a result by Shen, American Journal of Mathematics, 113, 293–373, 1991 on the nonstationary Stokes system.

Keywords: Time dependent Oseen system; Single layer potential; Integral equation (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_12

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DOI: 10.1007/978-3-642-04068-9_12

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