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Internal motion of a small element of fluid in an inviscid flow. (English) Zbl 0599.76040
We look at the internal motion of a small element of fluid in inviscid and incompressible flows by neglecting the actions of the other elements which constitutes the whole fluid. This free motion of the element leads, in a finite time, to the divergence of the velocity field in the element and to its flattening in a plane.

MSC:
76D05 Navier-Stokes equations for incompressible viscous fluids
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References:
[1] Vieillefosse, P., J. physique, 43, 837, (1982)
[2] Frisch, U., Chaotic behaviour in deterministic systems; LES houches, (1981), North-Holland Amsterdam
[3] See for example L. Landau and E.M. Lifshitz (Pergamon, London, New York) vol. 2, section 83.
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