Quadrature Domains and Fluid Dynamics

  • Darren Crowdy
Part of the Operator Theory: Advances and Applications book series (OT, volume 156)

Abstract

Few physical scientists interested in the mathematical description of fluid flows will know what a quadrature domain is; just as few mathematicians interested in quadrature domain theory would profess to know much about fluid dynamics. And yet, recent research has shown that a surprisingly large number of the by-now classic exact solutions of two-dimensional fluid dynamics can be understood within the context of quadrature domain theory. This article surveys a number of different physical applications of quadrature domain theory arising in the general field of fluid dynamics.

Keywords

quadrature domains complex analysis fluid dynamics 

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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2005

Authors and Affiliations

  • Darren Crowdy
    • 1
  1. 1.Department of MathematicsImperial College of Science, Technology and MedicineLondonUK

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