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dc.contributor.advisorFoias, Ciprian
dc.creatorDascaliuc, Radu
dc.date.accessioned2007-04-25T20:13:36Z
dc.date.available2007-04-25T20:13:36Z
dc.date.created2005-12
dc.date.issued2007-04-25
dc.identifier.urihttp://hdl.handle.net/1969.1/4940
dc.description.abstractWe 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
dc.format.extent349274 bytesen
dc.format.mediumelectronicen
dc.format.mimetypeapplication/pdf
dc.language.isoen_US
dc.publisherTexas A&M University
dc.subjectDissipative PDEen
dc.subjectBackward Time Behavioren
dc.titleBackward time behavior of dissipative PDEen
dc.typeBooken
dc.typeThesisen
thesis.degree.departmentMathematicsen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorTexas A&M Universityen
thesis.degree.nameDoctor of Philosophyen
thesis.degree.levelDoctoralen
dc.contributor.committeeMemberPannetta, Lee R.
dc.contributor.committeeMemberParcy, Carl M.
dc.contributor.committeeMemberWalton, Jay
dc.type.genreElectronic Dissertationen
dc.type.materialtexten
dc.format.digitalOriginborn digitalen


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