EVIDENCE FOR A REAL-TIME SINGULARITY IN HYDRODYNAMICS FROM TIME-SERIES ANALYSIS

Authors
PELZ RB GULAK Y
Citation
Rb. Pelz et Y. Gulak, EVIDENCE FOR A REAL-TIME SINGULARITY IN HYDRODYNAMICS FROM TIME-SERIES ANALYSIS, Physical review letters, 79(25), 1997, pp. 4998-5001
Citations number
20
Journal title
Physical review letters → ACNP
ISSN journal
00319007
Volume
79
Issue
25
Year of publication
1997
Pages
4998 - 5001
Database
ISI
SICI code
0031-9007(1997)79:25<4998:EFARSI>2.0.ZU;2-0
Abstract
The multiple-precision time series solution of the incompressible invi scid flow equations with the initial velocity field u(x, y, z) = w(z, x, y) = sin x (cos3y cosz -cos y cos 3z), has been computed to 32 term s and maximum wave number 99. Ratio test and Pade analyses indicate a real-time singularity in enstrophy Omega(t) with the form (t(crit)(2) - t(2))(-1) where t(crit)root Omega(0) congruent to 4.