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The Navier-Stokes Equations over Unbounded Domains

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Proceedings of the Second ISAAC Congress

Part of the book series: International Society for Analysis, Applications and Computation ((ISAA,volume 8))

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Abstract

In this paper we apply an operator calculus over unbounded domains, whose complement contains a non-empty open set, to solve the linear Stokes problem in scales of W k q (Ω)-spaces over this kind of unbounded domains. This result will be used to investigate the Navier-Stokes equations for steady flows by means of a Banach contraction principle.

This paper was done while the author was a recipient of a PRAXIS XXI-scholarship of the Fundação para a Ciência e a Tecnologia visiting the Universidade de Aveiro in Portugal.

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Author information

Authors and Affiliations

  1. Departamento de Matemática, Universidade de Aveiro, P-3810-193, Aveiro, Portugal

    U. U. Kähler

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  1. U. U. Kähler
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Editor information

Editors and Affiliations

  1. Freie Universität, Berlin, Germany

    Heinrich G. W. Begehr

  2. University of Delaware, Newark, Delaware, USA

    Robert P. Gilbert

  3. Kyushu University, Fukuoka, Japan

    Joji Kajiwara

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© 2000 Kluwer Academic Publishers

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Kähler, U.U. (2000). The Navier-Stokes Equations over Unbounded Domains. In: Begehr, H.G.W., Gilbert, R.P., Kajiwara, J. (eds) Proceedings of the Second ISAAC Congress. International Society for Analysis, Applications and Computation, vol 8. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0271-1_65

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  • DOI: https://doi.org/10.1007/978-1-4613-0271-1_65

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7971-3

  • Online ISBN: 978-1-4613-0271-1

  • eBook Packages: Springer Book Archive

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