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Estudi de la dinàmica de models de reacció-difusió

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dc.contributor Haro, Àlex
dc.creator Matías Vejer, Sara
dc.date 2016-01-27T09:29:37Z
dc.date 2016-01-27T09:29:37Z
dc.date 2015-06-30
dc.date.accessioned 2024-12-16T10:21:42Z
dc.date.available 2024-12-16T10:21:42Z
dc.identifier http://hdl.handle.net/2445/69026
dc.identifier.uri http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/13144
dc.description Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2015, Director: Àlex Haro
dc.description The 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.
dc.format 64 p.
dc.format application/pdf
dc.language cat
dc.rights cc-by-nc-nd (c) Sara Matías Vejer, 2015
dc.rights http://creativecommons.org/licenses/by-nc-nd/3.0/es
dc.rights info:eu-repo/semantics/openAccess
dc.source Treballs Finals de Grau (TFG) - Matemàtiques
dc.subject Ones
dc.subject Treballs de fi de grau
dc.subject Camps vectorials
dc.subject Equacions de reacció-difusió
dc.subject Exponents de Lyapunov
dc.subject Solucions (Química)
dc.subject Waves
dc.subject Bachelor's theses
dc.subject Vector fields
dc.subject Lyapunov exponents
dc.subject Solution (Chemistry)
dc.subject Reaction-diffusion equations
dc.title Estudi de la dinàmica de models de reacció-difusió
dc.type info:eu-repo/semantics/bachelorThesis


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