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On the Collapse of Tubes Carried¶by 3D Incompressible Flows

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Abstract:

We define the notion of a “regular tube”, and prove that a regular tube convected by a 3D incompressible flow cannot collapse to zero thickness in finite time.

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Authors and Affiliations

  1. Mathematics Department, University of Chicago, Chicago, IL 60637-1546, USA.¶E-mail: dcg@math.uchicago.edu, , , , , , US

    Diego Cordoba

  2. Mathematics Department, Fine Hall, Princeton University, Princeton, NJ 08544-1000, USA.¶E-mail: cf@math.princeton.edu, , , , , , US

    Charles Fefferman

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  1. Diego Cordoba
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  2. Charles Fefferman
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Received: 5 February 2001 / Accepted: 25 April 2001

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Cordoba, D., Fefferman, C. On the Collapse of Tubes Carried¶by 3D Incompressible Flows. Commun. Math. Phys. 222, 293–298 (2001). https://doi.org/10.1007/s002200100502

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  • DOI: https://doi.org/10.1007/s002200100502

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