Programa de Doctorat en Matemàtica Aplicada: Recent submissions
Now showing items 41-60 of 200
Ejection-collision orbits in the restricted three-body problem
The main objective of this dissertation is the study of the ejection-collision (EC) orbits in the circular and planar Restricted Three Body Problem (RTBP from now on). In particular, we will focus on the analytical and ...
An effective method to study the Hopf-Galois module structure of certain extensions of fields
We develop a method to compute a basis of the associated order in a Hopf Galois structure H of the ring of integers O_L of an extension of number or p-adic fields L/K. We state and prove a necessary and sufficient condition ...
Algebraic and semi-algebraic phylogenetic reconstruction
Phylogenetics is the study of the evolutionary history and relationships among groups of biological entities (called taxa). The modeling of those evolutionary processes is done by phylogenetic trees whose nodes represent ...
Qualitative properties of solutions to integro-differential elliptic problems
The thesis is devoted to the analysis of elliptic PDEs and related problems. It is mainly focused on the study of qualitative and regularity properties of solutions to integro-differential equations. The study of such ...
The embedding problem for Markov matrices
The goal of this thesis is to solve the embedding problem for Markov matrices, posed by Gustav Elfving in1937. A Markov matrix is non-negative square matrix whose rows sum to 1. We say that such a matrix M is embeddable ...
The geometry and topology of steady Euler flows, integrability and singular geometric structures
In this thesis, we make a deep investigation of the geometry and dynamics of several objects (singular or not) appearing in nature. The main goal is to study rigidity versus flexibility dynamical behavior of the objects ...
A theoretical and computational study of the interaction between biomembranes and curved proteins
Organelles are the smallest functional parts of eukaryotic cells. Among them, some are membrane-bound such as the nucleus, the endoplasmic reticulum, or the Golgi apparatus, each of them with essential biological functions. ...
A hesitant fuzzy perceptual-based approach to model linguistic assessments
Multiple-criteria or multiple-attribute group decision-making is a sub-field of operations research that seek to find a common and representative solution given the preferences elicited by a pre-defined group, over a set ...
Long-term privacy in electronic voting systems
This PhD thesis focuses on lattice-based cryptography and how to apply it to build post-quantum online voting systems. It is the result of the research done by the author at Scytl in close collaboration with Dr. Paz Morillo, ...
Special values of the triple product p-adic L-function
Let E be an elliptic curve defined over the field of rational numbers and let f be the corresponding newform of weight 2. Let g,h be two weight one newforms whose nebentype characters are mutually inverse. Let V be the ...
Mathematical and computational modeling of flexoelectricity at mesoscopic and atomistic scales
This PhD thesis focuses on the development of mathematical and computational models for flexoelectricity, a relatively new electromechanical coupling that is present in any dielectric at the micron and sub-micron scales. ...
Low and high-order hybridised methods for compressible flows
The aerospace community is challenged as of today for being able to manage accurate overnight computational fluid dynamics (CFD) simulations of compressible flow problems. Well-established CFD solvers based on second-order ...
Arithmetic applications of the Euler systems of Beilinson-Flach elements and diagonal cycles
The main objective of this dissertation is the exploration of certain arithmetic applications of the Euler systems of Beilinson--Flach elements and diagonal cycles. Euler systems have been proved to be a very powerful tool ...
Active superelasticity in three-dimensional epithelia of controlled shape
Fundamental processes in development and physiology are determined by the three-dimensional architecture of epithelial sheets. How these sheets deform and fold into complex structures has remained unclear, however, because ...
New geometrical and dynamical techniques for problems in celestial mechanics
In this thesis, we study the application of symplectic geometry, regular and singular, to symplectic dynamical systems.We start with a motivating case: the relation between symplectic foliations and global transverse ...
bm-Symplectic manifolds: symmetries, classification and stability
This thesis explores classification and perturbation problems for group actions on a class of Poisson manifolds called $b^m$-Poisson manifolds. $b^m$-Poisson manifolds are manifolds which are symplectic away from a ...
Development of a Large-Eddy simulation framework for engineering applications using the finite element method
This thesis develops a large eddy simulation framework for engineering applications using the finite element method. It focuses on the numerical formulation, the wall modelling approach as well as the generation of turbulent ...
Desarrollo de un sistema de monitorización de la integridad estructural para aplicaciones en ingeniería mediante técnicas de reducción de la dimensionalidad
This thesis describes a structural health monitoring (SHM) strategy to detect and classify changes in structures that can be equipped with sensors. SHM is an area of great interest, because its main objective is to verify ...
Estudio y caracterización de soluciones para juegos cooperativos y bicooperativos
The first part of this thesis focuses on cooperative games and specifically on the study of semivalues and probabilistic values. Each semivalue, as a solution concept defined on cooperative games with a finite set of ...
Global Hamiltonian dynamics on singular symplectic manifolds
In this thesis, we study the Reeb and Hamiltonian dynamics on singular symplectic and contact manifolds. Those structures are motivated by singularities coming from classical mechanics and fluid dynamics. We start by ...
