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dc.contributor.authorCoulson, Jeremy
dc.contributor.otherQueen's University (Kingston, Ont.). Theses (Queen's University (Kingston, Ont.))en
dc.date.accessioned2017-08-21T23:19:15Z
dc.date.available2017-08-21T23:19:15Z
dc.identifier.urihttp://hdl.handle.net/1974/22029
dc.description.abstractIn this thesis, we introduce random differential equations in an abstract framework and study their well-posedness. We study average controllability properties of a random heat equation when the diffusivity is a random variable. We show that the solutions of such random heat equations are both null and approximately controllable in average from an arbitrary open set of the domain and in an arbitrarily small time, recovering the known result when the random diffusivity is uniformly or exponentially distributed.en_US
dc.language.isoenen_US
dc.relation.ispartofseriesCanadian thesesen
dc.rightsQueen's University's Thesis/Dissertation Non-Exclusive License for Deposit to QSpace and Library and Archives Canadaen
dc.rightsProQuest PhD and Master's Theses International Dissemination Agreementen
dc.rightsIntellectual Property Guidelines at Queen's Universityen
dc.rightsCopying and Preserving Your Thesisen
dc.rightsThis publication is made available by the authority of the copyright owner solely for the purpose of private study and research and may not be copied or reproduced except as permitted by the copyright laws without written authority from the copyright owner.en
dc.subjectControl Systemsen_US
dc.subjectPartial Differential Equationsen_US
dc.subjectAverage Controllabilityen_US
dc.subjectHeat Equationen_US
dc.titleAverage Controllability of Random Heat Equationsen_US
dc.typethesisen
dc.description.degreeMaster of Applied Scienceen_US
dc.contributor.supervisorGharesifard, Bahman
dc.contributor.supervisorMansouri, Abdol-Reza
dc.contributor.departmentMathematics and Statisticsen_US


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