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 |
