Results concerning uniqueness of solutions to the steady state Boltzmann equation

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dc.contributor.authorMontgomery, Patrick Jamesen_US
dc.date.accessioned2024-08-14T22:53:20Z
dc.date.available2024-08-14T22:53:20Z
dc.date.copyright1993en_US
dc.date.issued1993
dc.degree.departmentDepartment of Mathematics
dc.degree.departmentDepartment of Mathematics and Statistics
dc.degree.levelMaster of Science M.Sc.en
dc.description.abstractUsing a contraction mapping, solutions to the truncated steady-state one dimensional Boltzmann Equation in a bounded interval with initial boundary conditions are shown to be unique for small enough interval width. Associated results are the existence and uniqueness of a solution without the restriction of non-­negativity. Also, a companion uniqueness result to the existence of a measure solution for the associated truncated measure boundary value problem is obtained for small enough interval width.en
dc.format.extent48 pages
dc.identifier.urihttps://hdl.handle.net/1828/19031
dc.rightsAvailable to the World Wide Weben_US
dc.subjectUN SDG 10: Reduced Inequalitiesen
dc.titleResults concerning uniqueness of solutions to the steady state Boltzmann equationen_US
dc.typeThesisen_US

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