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Oseen Coupling Method for the Exterior Flow Part I: Oseen Coupling Approximation

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Abstract

In this paper, we consider the bidimensional exterior unsteady Navier-Stokes equations with nonhomogeneous boundary conditions and present an Oseen coupling problem which approximates the Navier-Stokes problem, obtained by coupling the Navier-Stokes equations in the inner region and the Oseen equations in the outer region. Moreover, we prove the existence, uniqueness and the approximate accuracy of the weak solution of the Oseen coupling equations.

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Authors and Affiliations

  1. College of Science, Xi'an Jiaotong University, Xi'an 710049, P. R. China

    Yinnian He & Kaitai Li

Authors
  1. Yinnian He
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  2. Kaitai Li
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Correspondence to Kaitai Li.

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Project supported by NSF of China & State Major Key Project of Basic Research

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He, Y., Li, K. Oseen Coupling Method for the Exterior Flow Part I: Oseen Coupling Approximation. Acta Math Sinica 16, 337–348 (2000). https://doi.org/10.1007/s101140000053

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  • DOI: https://doi.org/10.1007/s101140000053

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