ЖЭТФ, Том 142,
стр. 1284 (Декабрь 2012)
(Английский перевод - JETP,
Vol. 115, No 6,
доступен on-line на www.springer.com
SCALE-INVARIANT STREAMLINE EQUATIONS AND STRINGS OF SINGULAR VORTICITY FOR PERTURBED ANISOTROPIC SOLUTIONS OF THE NAVIER-STOKES EQUATION
Поступила в редакцию: 23 Мая 2012
A linear combination of a pair of dual anisotropic decaying Beltrami flows with spatially constant amplitudes (the Trkal solutions) with the same eigenvalue of the curl operator and of a constant velocity orthogonal vector to the Beltrami pair yields a triplet solution of the force-free Navier-Stokes equation. The amplitudes slightly variable in space (large scale perturbations) yield the emergence of a time-dependent phase between the dual Beltrami flows and of the upward velocity, which are unstable at large values of the Reynolds number. They also lead to the formation of large-scale curved prisms of streamlines with edges being the strings of singular vorticity.