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Rate of Convergence to the Stationary Solution of the Navier-Stokes Exterior Problem

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Recent Developments of Mathematical Fluid Mechanics

Part of the book series: Advances in Mathematical Fluid Mechanics ((AMFM))

Abstract

This paper is concerned with the nonstationary Navier-Stokes equation in two-dimensional exterior domains with stationary external forces, and provides the rate of convergence of solutions to the stationary solution under the smallness condition of the stationary solution.

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Acknowledgements

The author is very grateful to the referee for pointing out an important mistake. Partly supported by the International Research Training Group (IGK 1529) on Mathematical Fluid Dynamics funded by DFG and JSPS and associated with TU Darmstadt, Waseda University in Tokyo and the University of Tokyo, and by Grant-in-Aid for Scientific Research (C) 25400185, Ministry of Education, Culture, Sports, Science and Technology, Japan.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science and Engineering, Waseda University, Shinjuku, Tokyo, 169-8555, Japan

    Masao Yamazaki

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  1. Masao Yamazaki
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Correspondence to Masao Yamazaki .

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Editors and Affiliations

  1. Universität of Zürich, Institut für Mathematik, Zürich, Switzerland

    Herbert Amann

  2. University of Tokyo, Graduate School of Mathematical Sciences, Tokyo, Japan

    Yoshikazu Giga

  3. Department of Mathematics, Waseda University, Tokyo, Japan

    Hideo Kozono

  4. Research Institute for Mathematical Sciences, Kyoto University Kitashirakawa, Kyoto, Japan

    Hisashi Okamoto

  5. Department of Mathematics, Waseda University, Tokyo, Japan

    Masao Yamazaki

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Dedicated to Professor Yoshihiro Shibata on the occasion of his sixtieth birthday

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Yamazaki, M. (2016). Rate of Convergence to the Stationary Solution of the Navier-Stokes Exterior Problem. In: Amann, H., Giga, Y., Kozono, H., Okamoto, H., Yamazaki, M. (eds) Recent Developments of Mathematical Fluid Mechanics. Advances in Mathematical Fluid Mechanics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0939-9_24

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