A self-consistent analysis for two-dimensional hydrodynamics
Review articleOpen access

AbstractWe study a stochastic model for 2-d incompressible fluids. We show that the kinetic equation governing the evolution of the velocity correlation function has a remarkable property which suggests that a regime of time and wave number exists over which self-consistent transport modes are exponentially decaying. The characteristic time of this regime is shorter than the characteristic time of classical hydrodynamics: it is defined by the limit k β†’ 0, t β†’ ∞ and k2√In(1/k)t finite.

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