| Summary: | We study behavior for negative times t of the 2D periodic Navier-Stokes equations
and Burgers' original model for turbulence. Both systems are proved to have
rich sets of solutions that exist for all t - R and increase exponentially as t -> -(Infinity) However, our study shows that the behavior of these solutions as well as the geometrical
structure of the sets of their initial data are very different. As a consequence,
Burgers original model for turbulence becomes the first known dissipative system that
despite possessing a rich set of backward-time exponentially growing solutions, does
not display any similarities, as t -> -(Infinity), to the linear case.
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