New Scenario for Transition to Slow 3-D Turbulence

[Котофеич]

Numerical-analytical study of the three-dimensional nonlinear stochastic partial differential equation, analogous to that proposed by V.N.Nikolaevskii [Recent Advances in Engineering Science (Springer - - Verlag, Berlin. 1989)] to describe longitudinal seismic waves, is presented. The equation has a threshold of short-wave instability and symmetry, providing longwave dynamics. Proposed new mechanism for quantum chaos generating in nonlinear dynamical systems. The hypothesis is said, that physical turbulence could be identified with quantum chaos of considered type.
http://www.math.ntnu.no/conservation/2005/041.html