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On the collapse of tubes carried by 3D incompressible flows. (English) Zbl 0999.76020
Summary: We define the notion of a “regular tube”, and prove that a regular tube convected by a three-dimensional incompressible flow cannot collapse to zero thickness in finite time.

MSC:
76B03 Existence, uniqueness, and regularity theory for incompressible inviscid fluids
35Q35 PDEs in connection with fluid mechanics
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