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On error bounds for nonstationary spectral Navier-Stokes approximations

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Ordinary and Partial Differential Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 964))

Abstract

For spectral Galerkin approximations of nonstationary local strong Navier-Stokes solutions on a smoothly bounded 3-dimensional domain, error estimates in suitable Hilbert space are established, which lead to uniform pointwise error bounds in certain Hölder spaces. The estimates follow by application of Fujita's and Kato's results [4].

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Authors
  1. Reimund Rautmann
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Editor information

W.N. Everitt B.D. Sleeman

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© 1982 Springer-Verlag

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Rautmann, R. (1982). On error bounds for nonstationary spectral Navier-Stokes approximations. In: Everitt, W., Sleeman, B. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 964. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065028

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  • DOI: https://doi.org/10.1007/BFb0065028

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11968-5

  • Online ISBN: 978-3-540-39561-4

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