A non-linear elliptic problem arising in petroleum engineering

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dc.contributor.advisorTapia, Richard A.
dc.creatorMayor de Montricher, Gilbert Franz
dc.date.accessioned2016-04-22T21:59:13Z
dc.date.available2016-04-22T21:59:13Z
dc.date.issued1971
dc.description.abstractThe problem of determining the temperature distribution of a body heated by radiation is formulated as a variational nonlinear partial differential equation. An existence and uniqueness theorem is proved for this problem. It is shown that Newton's method applied to this nonlinear problem gives a sequence of linear Dirichlet problems. Convergence results for Newton's method are also derived.
dc.format.digitalOriginreformatted digitalen_US
dc.format.extent42 ppen_US
dc.identifier.callnoThesis Math. Sci. 1971 Mayor de Montren_US
dc.identifier.citationMayor de Montricher, Gilbert Franz. "A non-linear elliptic problem arising in petroleum engineering." (1971) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/89973">https://hdl.handle.net/1911/89973</a>.
dc.identifier.digitalRICE1008en_US
dc.identifier.urihttps://hdl.handle.net/1911/89973
dc.language.isoeng
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.
dc.titleA non-linear elliptic problem arising in petroleum engineering
dc.typeThesis
dc.type.materialText
thesis.degree.departmentMathematical Sciences
thesis.degree.disciplineEngineering
thesis.degree.grantorRice University
thesis.degree.levelMasters
thesis.degree.nameMaster of Arts
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