Spontaneous singularity in three-dimensional, inviscid, incompressible flow

Details Spontaneous singularity in three-dimensional, inviscid, incompressible flow Spontaneous singularity in three-dimensional, inviscid, incompressible flow

Mar 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980phrvl..44..572m&link_type=abstract

Physical Review Letters, vol. 44, Mar. 3, 1980, p. 572-575. Swiss National Science Foundation

Statistics

Computation

48

Incompressible Flow, Inviscid Flow, Series (Mathematics), Singularity (Mathematics), Three Dimensional Flow, Vortices, Computational Fluid Dynamics, Euler Equations Of Motion, Pade Approximation

Scientific paper

In the present paper, evidence in support of the conjecture that vortex lines may be stretched an infinite amount in a finite time is obtained by applying series-analysis techniques to the time evolution of the inviscid Taylor-Green vortex (1937). The resulting power-series expansions are analyzed, using techniques developed for studying singularities in critical phenomena. The flow is the solution of the incompressible Euler equations, in Fourier representation.

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