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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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