Backward time behavior of dissipative PDE

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dc.contributor.advisor Foias , Ciprian en_US
dc.contributor.committeeMember Pannetta , Lee R . en_US
dc.creator Dascaliuc , Radu en_US
dc.date.accessioned 2007 -04 -25T20 :13 :36Z
dc.date.accessioned 2014 -02 -19T19 :28 :02Z
dc.date.available 2007 -04 -25T20 :13 :36Z
dc.date.available 2014 -02 -19T19 :28 :02Z
dc.date.created 2005 -12 en_US
dc.date.issued 2007 -04 -25T20 :13 :36Z
dc.identifier.uri http : / /hdl .handle .net /1969 .1 /4940
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 . en_US
dc.format.extent 349274 bytes
dc.format.medium electronic en_US
dc.format.mimetype application /pdf
dc.language.iso en _US en_US
dc.publisher Texas A &M University en_US
dc.subject Dissipative PDE en_US
dc.title Backward time behavior of dissipative PDE en_US
dc.type Book en
dc.type.genre Electronic Dissertation en_US
dc.type.material text en_US
dc.format.digitalOrigin born digital en_US

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

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