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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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