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dc.contributorGonzález Nogueras, María del Mar
dc.contributor.authorAntón Amayuelas, Marcos
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.date.accessioned2015-07-30T11:12:45Z
dc.date.available2015-07-30T11:12:45Z
dc.date.issued2015-07
dc.identifier.urihttp://hdl.handle.net/2117/76403
dc.description.abstractThis bachelor thesis deals with the Stefan problem, from its historical background to the existence and uniqueness of solution to the problem. The physical background is presented at the beginning. Afterwards there are presented some results related to the problem, like explicit solutions and an analysis of the technique for obtaining solutions to the problem by perturbation methods. Also the theoretical development and mathematical formulation of supercooled Stefan problems is included in this part. Finally, results on existence and uniqueness for the Stefan problems are shown. In particular, the cases treated here are the ones concerning small and large times, both for Dirichlet boundary conditions, and Neumann boundary conditions for small times.
dc.language.isoeng
dc.publisherUniversitat Politècnica de Catalunya
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en derivades parcials
dc.subject.lcshDifferential equations, Partial
dc.subject.otherStefan problem
dc.subject.otherPhase change
dc.subject.otherFree boundary
dc.subject.otherFundamental solution
dc.subject.otherIntegral equation
dc.subject.otherFixed point
dc.titleThe Stefan problem
dc.typeBachelor thesis
dc.subject.lemacEquacions en derivades parcials
dc.subject.amsClassificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application
dc.identifier.slugFME-867
dc.rights.accessOpen Access
dc.date.updated2015-07-14T05:38:01Z
dc.audience.educationlevelGrau
dc.audience.mediatorUniversitat Politècnica de Catalunya. Facultat de Matemàtiques i Estadística
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