The Ever-Elusive Blowup in the Mathematical Description of Fluids

Robert M. Kerr () and Marcel Oliver ()
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Robert M. Kerr: University of Warwick, Department of Mathematics, School of Engineering, and Centre for Scientific Computing
Marcel Oliver: Jacobs University, School of Engineering and Science

A chapter in An Invitation to Mathematics, 2011, pp 137-164 from Springer

Abstract: Abstract This contribution introduces you to the Euler equations of ideal fluids and the Navier–Stokes equations which govern fully developed turbulent flows. We describe some of the unresolved mathematical issues, including the “Navier–Stokes millennium problem”, and the role numerical simulations play in developing this field.

Keywords: Stokes Equation; Euler Equation; Vortex Ring; Mathematical Description; Directional Derivative (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-19533-4_10

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DOI: 10.1007/978-3-642-19533-4_10

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