The power law exponent for the wavenumber power spectrum of a passive scala
r field with finite lifetime in Lagrangian chaotic flows and the enstrophy
spectrum of two-dimensional Navier-Stokes turbulence with drag are investig
ated. The power law exponents are related to the distribution of finite-tim
e Lyapunov exponents and the finite lifetime (or the drag coefficient). (C)
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