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

In: Advances in Mathematical Fluid Mechanics

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  • Paul Deuring

    (Univ Lille Nord de France
    ULCO, LMPA)

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.

Suggested Citation

  • Paul Deuring, 2010. "A Potential-Theoretic Approach to the Time-Dependent Oseen System," Springer Books, in: Rolf Rannacher & Adélia Sequeira (ed.), Advances in Mathematical Fluid Mechanics, pages 191-214, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-04068-9_12
    DOI: 10.1007/978-3-642-04068-9_12
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