Backward time behavior of dissipative PDE

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dc.contributor Foias , Ciprian
dc.creator Dascaliuc , Radu
dc.date 2007 -04 -25T20 :13 :36Z
dc.date 2007 -04 -25T20 :13 :36Z
dc.date 2005 -12
dc.date 2007 -04 -25T20 :13 :36Z
dc.date.accessioned 2013 -03 -12T17 :46 :02Z
dc.date.available 2013 -03 -12T17 :46 :02Z
dc.date.issued 2013 -03 -12
dc.identifier http : / /hdl .handle .net /1969 .1 /4940
dc.identifier.uri http : / /hdl .handle .net /1969 .1 /4940
dc.description 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.format 349274 bytes
dc.format electronic
dc.format application /pdf
dc.format born digital
dc.language 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
dc.type Electronic Dissertation
dc.type text

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Backward time behavior of dissipative PDE. Available electronically from http : / /hdl .handle .net /1969 .1 /4940 .

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