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.
| Identifer | oai:union.ndltd.org:tamu.edu/oai:repository.tamu.edu:1969.1/4940 |
| Date | 25 April 2007 |
| Creators | Dascaliuc, Radu |
| Contributors | Foias, Ciprian |
| Publisher | Texas A&M University |
| Source Sets | Texas A and M University |
| Language | en_US |
| Detected Language | English |
| Type | Book, Thesis, Electronic Dissertation, text |
| Format | 349274 bytes, electronic, application/pdf, born digital |
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