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dc.contributor.advisorBona, Jerryen_US
dc.contributor.authorLeonardi, Deanen_US
dc.date.accessioned2012-12-07T22:20:36Z
dc.date.available2012-12-07T22:20:36Z
dc.date.created2011-12en_US
dc.date.issued2012-12-07
dc.date.submitted2011-12en_US
dc.identifier.urihttp://hdl.handle.net/10027/8944
dc.description.abstractIn order to investigate the validity of the rigid-lid approximation, two fluid systems, a free-surface system and a rigid-lid system, are compared. Both the free-surface and rigid-lid systems have waves propagating at the interface between two layers of immiscible fluids of different densities, a deep bottom with featureless topography and a surface boundary. The surface boundary of the free-surface system is considered free, whereas the surface boundary of the rigid-lid system is a rigid-lid. The full (Euler) models for these situations are reduced to systems of linear evolutionary equations posed spatially on two dimensional Euclidean space. Compatible initial-boundary-valued problems for these systems of equations are compared in order to obtain sharp estimates of upper fluid layer depths and time scales over which the rigid-lid approximation is valid.en_US
dc.language.isoenen_US
dc.rightsCopyright 2011 Dean Leonardien
dc.subjectWater wavesen_US
dc.subjectInternal wavesen_US
dc.subjectrigid-lid approximationsen_US
dc.titleInternal and Surface Waves in a Two-Layer Fluiden_US
thesis.degree.departmentMathematics, Statistics and Computer Scienceen_US
thesis.degree.disciplineMathematicsen_US
thesis.degree.grantorUniversity of Illinois at Chicagoen_US
thesis.degree.levelDoctoralen_US
thesis.degree.namePhD, Doctor of Philosophyen_US
dc.type.genrethesisen_US
dc.contributor.committeeMemberKnessl, Charlesen_US
dc.contributor.committeeMemberShvydkoy, Romanen_US
dc.contributor.committeeMemberCheskidov, Alexeyen_US
dc.contributor.committeeMemberStein, Carolen_US
dc.type.materialtexten_US


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