Show simple item record

dc.creatorEl-Qasas, Majed Omar
dc.date.available2011-02-18T23:19:42Z
dc.date.issued1995-05
dc.identifier.urihttp://hdl.handle.net/2346/19804en_US
dc.description.abstractThe question of observability is that of recovering the initial data from a point measurement. This problem has been intensively studied by Martin, Gilliam. Wolf, etc. In this dissertation research we are looking at the observability of Burger's equation via the representation of solutions as ratio of solutions of the heat equation. This extends the work of Martin and Ghosh on the observability of Riccati equation. Also we have shown that the boundary data for the one-dimensional heat system given in Chapter II can be determined up to a linear equivalence relation in the Grassmannian manifold G'^{R^) by the spectra which can be recovered from a point observation. Finally, in Chapter III, we are looking at the explicit solution of the nonlinear Burgers' system.
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherTexas Tech Universityen_US
dc.subjectHeat equationen_US
dc.subjectBurgers equationen_US
dc.subjectRiccati equationen_US
dc.titleThe observability of Burgers' equation, the Riccati equation, and the heat equation
dc.typeDissertation
thesis.degree.namePh.D.
thesis.degree.levelDoctoral
thesis.degree.disciplineMathematics
thesis.degree.grantorTexas Tech University
thesis.degree.departmentMathematics
thesis.degree.departmentMathematics and Statistics
dc.degree.departmentMathematicsen_US
dc.rights.availabilityUnrestricted.


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record