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Fundamental Solutions of Stokes and Oseen Problem in Two Spatial Dimensions

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Abstract.

Fundamental solutions for the linearizations of Stokes and Oseen of the Navier–Stokes time dependent equations in two spatial dimensions are determined. The derivation of these solutions is greatly simplified with the use of a trick known as centering in the probability literature. The relation of these time dependent solutions with their steady counterparts is also established.

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Authors and Affiliations

  1. Department of Mathematics, Oregon State University, 368 Kidder Hall, Corvallis, Or, 97331-4605, USA

    Ronald B. Guenther & Enrique A. Thomann

Authors
  1. Ronald B. Guenther
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  2. Enrique A. Thomann
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Correspondence to Enrique A. Thomann.

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Communicated by G. P. Galdi

Authors partially supported by ONR grant N00014-02-1-0116 (RBG) and NSF 0327705 (EAT).

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Guenther, R.B., Thomann, E.A. Fundamental Solutions of Stokes and Oseen Problem in Two Spatial Dimensions. J. math. fluid mech. 9, 489–505 (2007). https://doi.org/10.1007/s00021-005-0209-z

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  • DOI: https://doi.org/10.1007/s00021-005-0209-z

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