A non-linear elliptic problem arising in petroleum engineering

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dc.contributor.advisorTapia, Richard A.en_US
dc.creatorMayor de Montricher, Gilbert Franzen_US
dc.date.accessioned2016-04-22T21:59:13Zen_US
dc.date.available2016-04-22T21:59:13Zen_US
dc.date.issued1971en_US
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.en_US
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>.en_US
dc.identifier.digitalRICE1008en_US
dc.identifier.urihttps://hdl.handle.net/1911/89973en_US
dc.language.isoengen_US
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.en_US
dc.titleA non-linear elliptic problem arising in petroleum engineeringen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentMathematical Sciencesen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Artsen_US
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