Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/69026
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dc.contributor.advisorHaro, Àlex-
dc.contributor.authorMatías Vejer, Sara-
dc.date.accessioned2016-01-27T09:29:37Z-
dc.date.available2016-01-27T09:29:37Z-
dc.date.issued2015-06-30-
dc.identifier.urihttp://hdl.handle.net/2445/69026-
dc.descriptionTreballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2015, Director: Àlex Haroca
dc.description.abstractThe Fisher-KPP equation is a model for invasion processes and the Brusselator is an autocatalytic model used in chemistry. Both of them belong to the reaction-diffusion models family. The purpose of this project is to study the behaviour and dynamics of their solutions. Having made a brief introduction into the weak solutions class to understand the existence and uniqueness of solutions, we focus on the phenomenon of traveling waves and its link with heteroclinic connections in a vector field. The Lyapunov theory provides us with the necessary tools to reach the existence of traveling waves in Fisher-KPP model. To complete the study we analyze the presence of a Hopf bifurcation in the Brusselator model.ca
dc.format.extent64 p.-
dc.format.mimetypeapplication/pdf-
dc.language.isocatca
dc.rightscc-by-nc-nd (c) Sara Matías Vejer, 2015-
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es-
dc.sourceTreballs Finals de Grau (TFG) - Matemàtiques-
dc.subject.classificationOnes-
dc.subject.classificationTreballs de fi de grau-
dc.subject.classificationCamps vectorialsca
dc.subject.classificationEquacions de reacció-difusióca
dc.subject.classificationExponents de Lyapunovca
dc.subject.classificationSolucions (Química)ca
dc.subject.otherWaves-
dc.subject.otherBachelor's theses-
dc.subject.otherVector fieldseng
dc.subject.otherLyapunov exponentseng
dc.subject.otherSolution (Chemistry)eng
dc.subject.otherReaction-diffusion equationseng
dc.titleEstudi de la dinàmica de models de reacció-difusióca
dc.typeinfo:eu-repo/semantics/bachelorThesisca
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca
Appears in Collections:Treballs Finals de Grau (TFG) - Matemàtiques

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