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

Chapter

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 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.Univ Lille Nord de FranceLilleFrance
  2. 2.ULCO, LMPACalaisFrance

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