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On the Global Existence and Convergence to Steady State of Navier-Stokes Flow Past an Obstacle that is Started from Rest

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Abstract

A new approach to the existence theory for the Navier-Stokes equations, using a technique of Kato [15], further developed in combination with estimates for Oseen's equation by Kobayashi & Shibata [17] and Shibata [24], has made possible the solution of a long-standing open problem often referred to as Finn's “starting problem”. This paper provides the solution.

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Authors and Affiliations

  1. Istituto di Ingegneria Università di Ferrara 44100 Ferrara, Italy, , , , , , IT

    G. P. Galdi

  2. Department of Mathematics The University of British Columbia Vancouver, Canada V6T 1Z2, , , , , , CA

    J. G. Heywood

  3. Institute of Mathematics University of Tsukuba 305-Ibaraki Tsukuba, Japan, , , , , , JP

    Y. Shibata

Authors
  1. G. P. Galdi
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  2. J. G. Heywood
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  3. Y. Shibata
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(Accepted January 31, 1996)

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Galdi, G., Heywood, J. & Shibata, Y. On the Global Existence and Convergence to Steady State of Navier-Stokes Flow Past an Obstacle that is Started from Rest. Arch Rational Mech Anal 138, 307–318 (1997). https://doi.org/10.1007/s002050050043

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  • DOI: https://doi.org/10.1007/s002050050043

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