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Backward time behavior of dissipative PDE

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Title: Backward time behavior of dissipative PDE
Author: Dascaliuc, Radu
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.
Publisher: Texas A&M University
Subject: Dissipative PDE
Backward Time Behavior
URI: http://hdl.handle.net/1969.1/4940
Date: 2005-12


Dascaliuc, Radu (2005). Backward time behavior of dissipative PDE. Doctoral dissertation, Texas A&M University. Texas A&M University. Available electronically from http : / /hdl .handle .net /1969 .1 /4940.

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