Coulon, Anne-Charline (Date of defense: 2014-07-07)
This thesis focuses on the long time behaviour of solutions to Fisher-KPP reaction-diffusion equations involving fractional diffusion. This type of equation arises, for example, in spatial propagation ...
Rosa Ibarra, Abraham de la (Date of defense: 2014-06-16)
The goal of this thesis is to show global instability or Arnold's diffusion in the elliptic restricted three body problem (ERTBP) by proving the existence of pseudo-trajectories diffusing along the phase ...
Ibáñez Marcelo, Esther (Date of defense: 2014-12-19)
In this thesis we develop a multi-scale model of the evolutionary dynamics of a population of cells, which accounts for the mapping between genotype and phenotype as determined by a model of the gene ...
Serra Montolí, Joaquim (Date of defense: 2014-06-17)
The thesis is divided into two parts. The first part is mainly concerned with regularity issues for integro-differential (or nonlocal) elliptic and parabolic equations. In the same way that densities ...
Ros, Xavier (Date of defense: 2014-06-19)
The main topic of the thesis is the study of Elliptic PDEs. It is divided into three parts: (I) integro-differential equations, (II) stable solutions to reaction-diffusion problems, and (III) weighted ...
Font Martínez, Francesc (Date of defense: 2014-07-18)
In this thesis we develop and analyse mathematical models describing phase change phenomena linked with novel technological applications. The models are based on modifications to standard phase change ...