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http://hdl.handle.net/2445/69026
Title: | Estudi de la dinàmica de models de reacció-difusió |
Author: | Matías Vejer, Sara |
Director/Tutor: | Haro, Àlex |
Keywords: | Ones Treballs de fi de grau Camps vectorials Equacions de reacció-difusió Exponents de Lyapunov Solucions (Química) Waves Bachelor's theses Vector fields Lyapunov exponents Solution (Chemistry) Reaction-diffusion equations |
Issue Date: | 30-Jun-2015 |
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. |
Note: | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2015, Director: Àlex Haro |
URI: | http://hdl.handle.net/2445/69026 |
Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
File | Description | Size | Format | |
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memoria.pdf | Memòria | 814.1 kB | Adobe PDF | View/Open |
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