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dc.contributor.advisorFoias, Ciprianen_US
dc.creatorDascaliuc, Raduen_US
dc.date.accessioned2007-04-25T20:13:36Z
dc.date.available2007-04-25T20:13:36Z
dc.date.created2005-12en_US
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_US
dc.format.extent349274 bytes
dc.format.mediumelectronicen_US
dc.format.mimetypeapplication/pdf
dc.language.isoen_USen_US
dc.publisherTexas A&M Universityen_US
dc.subjectDissipative PDEen_US
dc.subjectBackward Time Behavioren_US
dc.titleBackward time behavior of dissipative PDEen_US
dc.typeBooken
dc.typeThesisen
thesis.degree.departmentMathematicsen_US
thesis.degree.disciplineMathematicsen_US
thesis.degree.grantorTexas A&M Universityen_US
thesis.degree.nameDoctor of Philosophyen_US
thesis.degree.levelDoctoralen_US
dc.contributor.committeeMemberPannetta, Lee R.en_US
dc.contributor.committeeMemberParcy, Carl M.en_US
dc.contributor.committeeMemberWalton, Jayen_US
dc.type.genreElectronic Dissertationen_US
dc.type.materialtexten_US
dc.format.digitalOriginborn digitalen_US


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