Estudi de la dinàmica de models de reacció-difusió
| dc.contributor.advisor | Haro, Àlex | |
| dc.contributor.author | Matías Vejer, Sara | |
| dc.date.accessioned | 2016-01-27T09:29:37Z | |
| dc.date.available | 2016-01-27T09:29:37Z | |
| dc.date.issued | 2015-06-30 | |
| dc.description | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2015, Director: Àlex Haro | ca |
| dc.description.abstract | 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. | ca |
| dc.format.extent | 64 p. | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.uri | https://hdl.handle.net/2445/69026 | |
| dc.language.iso | cat | ca |
| dc.rights | cc-by-nc-nd (c) Sara Matías Vejer, 2015 | |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es | |
| dc.source | Treballs Finals de Grau (TFG) - Matemàtiques | |
| dc.subject.classification | Ones | |
| dc.subject.classification | Treballs de fi de grau | |
| dc.subject.classification | Camps vectorials | ca |
| dc.subject.classification | Equacions de reacció-difusió | ca |
| dc.subject.classification | Exponents de Lyapunov | ca |
| dc.subject.classification | Solucions (Química) | ca |
| dc.subject.other | Waves | |
| dc.subject.other | Bachelor's theses | |
| dc.subject.other | Vector fields | eng |
| dc.subject.other | Lyapunov exponents | eng |
| dc.subject.other | Solution (Chemistry) | eng |
| dc.subject.other | Reaction-diffusion equations | eng |
| dc.title | Estudi de la dinàmica de models de reacció-difusió | ca |
| dc.type | info:eu-repo/semantics/bachelorThesis | ca |
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