Global existence results for near triangular nonlinear parabolic systems

dc.contributor.advisorLe, Dung
dc.contributor.authorLuu, Duc Minh
dc.date.accessioned2024-02-12T14:52:00Z
dc.date.available2024-02-12T14:52:00Z
dc.date.issued2010
dc.descriptionThis item is available only to currently enrolled UTSA students, faculty or staff. To download, navigate to Log In in the top right-hand corner of this screen, then select Log in with my UTSA ID.
dc.description.abstractIn this thesis, we propose and prove the sufficient conditions which ensure the global existence of weak solutions for two classes of nonlinear parabolic systems with cross diffusion. The first class is the triangular system and the second is close to the first kind in some sense, i.e the near triangular system. First, we prove technical lemmas, the so-called decay estimates, which are necessary for main results as well as interesting in themselves. Then we prove that weak solutions of the mentioned systems belong to proper Campanato spaces. Finally, the isomorphism theorem among Campanato and Holder spaces allows us to establish the Holder regularity of these solutions. By Amann's results, this regularity guarantees the global existence of weak solutions.
dc.description.departmentMathematics
dc.format.extent42 pages
dc.format.mimetypeapplication/pdf
dc.identifier.isbn9781124385389
dc.identifier.urihttps://hdl.handle.net/20.500.12588/4303
dc.languageen
dc.subject.classificationMathematics
dc.titleGlobal existence results for near triangular nonlinear parabolic systems
dc.typeThesis
dc.type.dcmiText
dcterms.accessRightspq_closed
thesis.degree.departmentMathematics
thesis.degree.grantorUniversity of Texas at San Antonio
thesis.degree.levelMasters
thesis.degree.nameMaster of Science

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