| 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 |
|