APS » PROLA » Phys. Rev. Lett. » Volume 79 » Issue 25

Phys. Rev. Lett. 79, 4998 - 5001 (1997)

Evidence for a Real-Time Singularity in Hydrodynamics from Time Series Analysis

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R. B. Pelz and Y. Gulak
Mechanical and Aerospace Enginnering, Rutgers, The State University of New Jersey, 98 Brett Road, Piscataway, New Jersey 08854-8058

Received 29 April 1997

The multiple-precision time series solution of the incompressible inviscid flow equations with the initial velocity field u(x,y,z)  =  v(y,z,x)  =  w(z,x,y)  =  sinx(cos3ycosz-cosycos3z), has been computed to 32 terms and maximum wave number 99. Ratio test and Padé analyses indicate a real-time singularity in enstrophy Ω(t) with the form (tcrit2-t2)-1 where tcritsqrt[Ω(0)]≅4.


©1997 The American Physical Society

URL: http://link.aps.org/abstract/PRL/v79/p4998
DOI: 10.1103/PhysRevLett.79.4998
PACS: 47.15.Ki, 02.30.Lt, 03.40.Gc

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