4.7 Article

The fundamental solution of the steady 2D generalized Oseen equations

Journal

APPLIED MATHEMATICS LETTERS
Volume 124, Issue -, Pages -

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2021.107613

Keywords

2D Stokes equations; 2D Oseen equations; Rotational motion; Fundamental solution

Funding

  1. Portuguese FCT-Fundacao para a Ciencia e a Tecnologia of CEMAT/IST-ID [UIDB/04621/2020, UIDP/04621/2020]
  2. Fundação para a Ciência e a Tecnologia [UIDB/04621/2020, UIDP/04621/2020] Funding Source: FCT

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The study focused on plane steady viscous liquid flow around a translating and rotating obstacle. The fundamental solution of the associated linearized problem was derived under the assumption of a general 2D rigid body velocity.
Consider plane steady viscous liquid flow around a translating and rotating obstacle. We derive the fundamental solution of the associated linearized problem, assuming a general 2D rigid body velocity V (x) = zeta + omega x(perpendicular to). (C) 2021 Elsevier Ltd. All rights reserved.

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