### Enviaments recents

• #### A logistic queue model for network traffic modeling and simulation ﻿

(Universitat Politècnica de Catalunya, 2017-07)
Projecte Final de Màster Oficial
Accés obert
In this work we present a continuous queuing model called the logistic queue model. We show that in terms of queue size and outflow prediction, our model is as precise as a discrete event simulator with the additional ...
• #### Local geometry of analytic planar morphisms ﻿

(Universitat Politècnica de Catalunya, 2017-07)
Projecte Final de Màster Oficial
Accés obert
This work focuses in the study of local geometry of analytic planar morphisms. First, we introduce the basic concepts that will be needed to present the main part of the work. Secondly, we study the effect of analytic ...
• #### Critical velocity in kink solutions of the sine-Gordon equation ﻿

(Universitat Politècnica de Catalunya, 2017-07)
Projecte Final de Màster Oficial
Accés obert
The goal of this work is to present a way to deduce the value of the critical velocity observed in soliton-like solutions of a perturbed version of the sine-Gordon equation. To do so, an ODE system is obtained from the ...
• #### Instabilities in Hamiltonian systems ﻿

(Universitat Politècnica de Catalunya, 2017-07)
Projecte Final de Màster Oficial
Accés obert
In 1964, V. I. Arnol'd proved the existence of nearly-integrable Hamiltonian systems which have global instabilities (global chaotic behaviour). This phenomenon is nowadays termed under the name "Arnol'd diffusion". One ...
• #### Random Tug-of-War games and the infinity Laplacian ﻿

(Universitat Politècnica de Catalunya, 2017-07)
Projecte Final de Màster Oficial
Accés obert
In this work we introduce and analyze a new random Tug-of-War game in which one of the players has the power to decide at each turn whether to play a round of classical random Tug-of-War, or let the other player choose the ...
• #### Mathematical modelling of tumour growth in vitro ﻿

(Universitat Politècnica de Catalunya, 2017-07)
Projecte Final de Màster Oficial
Accés restringit per decisió de l'autor
It is now widely accepted that cells are mechanically integrated structures which dynamically respond to mechanical cues. Tumours are no exception to that rule but still little is known on how this mechano-transduction is ...
• #### Numerical modelling of the electrophysiology of the neuron ﻿

(Universitat Politècnica de Catalunya, 2017-07)
Projecte Final de Màster Oficial
Accés restringit per decisió de l'autor
A majority of studies on the brain are focused at either the molecular level or organ level. Rarely do we see models that attempt to relate neuronal behaviors to symptoms of traumatic brain injury. Well-documented studies ...
• #### Modelling hydrogels with Onsager’s variational principle ﻿

(Universitat Politècnica de Catalunya, 2017-07)
Projecte Final de Màster Oficial
Accés obert
The goal of this Master's thesis is to provide a physical and mathematical model that attempts to describe the deformation process of hydrogels. Hydrogels are commonly defined as three dimensional networks of hydrophilic ...
• #### Ohba’s conjecture and beyond for generalized colorings ﻿

(Universitat Politècnica de Catalunya, 2017-07)
Projecte Final de Màster Oficial
Accés obert
Let $G$ be a graph. Ohba's conjecture states that if $|V(G)|\leq 2\chi(G) +1$, then $\chi(G)=\chi^L(G)$. Noel, West, Wu and Zhu extended this result and proved that for any graph, \$\chi^L(G)\leq\max\{\chi(G),\left\lceil( ...
• #### Study of the Laplacian eigenvalues of fractal sets ﻿

(Universitat Politècnica de Catalunya, 2017-07)
Projecte Final de Màster Oficial
Accés obert
This thesis presents an example of known discretization methods for spectral problems in partial dierential equations and it is applied with some computations in planar domains with irregular (non-smooth) and self-similar ...