Backward time behavior of dissipative PDE
| dc.contributor | Foias, Ciprian | |
| dc.creator | Dascaliuc, Radu | |
| dc.date.accessioned | 2007-04-25T20:13:36Z | |
| dc.date.accessioned | 2017-04-07T19:53:03Z | |
| dc.date.available | 2007-04-25T20:13:36Z | |
| dc.date.available | 2017-04-07T19:53:03Z | |
| dc.date.created | 2005-12 | |
| dc.date.issued | 2007-04-25 | |
| dc.description.abstract | 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. | |
| dc.identifier.uri | http://hdl.handle.net/1969.1/4940 | |
| dc.language.iso | en_US | |
| dc.publisher | Texas A&M University | |
| dc.subject | Dissipative PDE | |
| dc.subject | Backward Time Behavior | |
| dc.title | Backward time behavior of dissipative PDE | |
| dc.type | Book | |
| dc.type | Thesis |