JournalsmagNo. 136pp. 29–38

Interpreting convex integration results in hydrodynamics

  • Gregory Eyink

    Johns Hopkins University, Baltimore, USA

  • Heiko Gimperlein

    Universität Innsbruck, Austria

  • Nigel Goldenfeld

    University of California, San Diego, USA; University of Illinois at Urbana-Champaign, USA

  • Michael Grinfeld

    University of Strathclyde, Glasgow, UK

  • Ilya Karlin

    ETH Zurich, Switzerland

  • Robin J. Knops

    Heriot-Watt University, Edinburgh, UK

  • Florian Kogelbauer

    ETH Zurich, Switzerland

  • Ondřej Kreml

    Czech Academy of Sciences, Prague, Czech Republic

  • Colin McLarty

    Case Western Reserve University, Cleveland, USA

  • Simon Markfelder

    University of Konstanz, Germany

  • Mikhail Osipov

    University of Strathclyde, Glasgow, UK

  • Marshall Slemrod

    University of Wisconsin–Madison, USA
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Abstract

The aim of this article is to encourage debate of issues of the applications of modern methods of mathematical analysis in fluid dynamics. A recent surprising result derived by convex integration techniques shows non-uniqueness of weak solutions in initial value problems of the Navier–Stokes equations. The question of relevance of such a result to physical observed flows allows a variety of answers, some of which are discussed below.

Cite this article

Gregory Eyink, Heiko Gimperlein, Nigel Goldenfeld, Michael Grinfeld, Ilya Karlin, Robin J. Knops, Florian Kogelbauer, Ondřej Kreml, Colin McLarty, Simon Markfelder, Mikhail Osipov, Marshall Slemrod, Interpreting convex integration results in hydrodynamics. Eur. Math. Soc. Mag. 136 (2025), pp. 29–38

DOI 10.4171/MAG/256