Programa de Doctorat en Matemàtica Aplicada: Envíos recientes
Mostrando ítems 1-20 de 200
Understanding the impact of climate and human mobility on the spread of invasive mosquito vectors and diseases
(English) Global change, driven by climate shifts, habitat alteration, and human activity, has accelerated the spread of invasive species and pathogens into previously unaffected regions. Once established, these species ...
A contribution to group decision aiding by means of multi-perceptual unbalanced linguistic assessments
(English) In decision-aiding environments under uncertainty, assessments are often expressed in linguistic terms whose meanings can vary significantly between individuals. In this thesis, this variation is modeled through ...
The role of resonances in Arnold diffusion
(English) This thesis presents contributions to the areas of exponentially small splitting of separatrices and Arnold diffusion in the context of theory of perturbation in Hamiltonian systems In the first chapter que study ...
Finite element computational modeling of flexoelectricity and flexo-photovoltaics
(English) This PhD focuses on the numerical modeling of flexoelectricity and flexo-photovoltaics, both at infinitesimal and finite deformations, using standard C0 Finite Element (FE) approximations. On one side, an ...
Oscillatory motions, parabolic orbits and collision orbits in the planar circular restricted three-body problem
(English) The planar circular restricted three body problem (PCRTBP) models the motion of a massless body under the attraction of other two bodies, the primaries, which describe circular orbits around their common center ...
Advancing solver performance in large-scale computational fluid dynamics: generalizing the linelet preconditioner for the pressure correction equation
(English) This thesis presents the Global Linelet Preconditioner (GLP), a preconditioning strategy designed to overcome these limitations and improve scalability in extreme-scale Computational Fluid Dynamics (CFD) applications. ...
Quantum analogs of classical codes
(English) The main focus of this thesis are stabilizer codes, a type of error-correcting code used to correct quantum information that has been corrupted by noise. We introduce several new general constructions of stabilizer ...
Floer homology for 𝑏-symplectic manifolds
(English) In this thesis we investigate various aspects of the dynamics of Hamiltonian vector fields in singular symplectic manifolds. We concentrate on two questions: first, we investigate a generalization of the Arnold ...
Canonical realizations of Bondi-Metzner-Sachs–like symmetries in field theory
(English) The BMS group appears as an infinite-dimensional group of isometries of asymptotically flat spacetimes first introduced by Bondi, Metzner, van der Burg, and Sachs in 1962. This group has gained interest recently ...
Numerical optimisation of worm locomotion on frictional substrates
(English) Optimal control theory provides a framework to determine optimal inputs for mechanical systems modeled as initial value problems. The resulting minimisation problem may be solved with known direct and indirect ...
Poisson structures on moduli spaces and group actions
(English) In this thesis, we study Poisson Structures on Moduli Spaces and Group actions. In particular, we focus on b^m-symplectic structures that can be seen both as symplectic structures with singularities and a particular ...
Simulation of two-fluid immiscible Stokes flows using hybrid nonconforming methods and geometrically unfitted meshes
(English) We consider two-fluid problems involving immiscible Stokes fluids in contact and with surface tension at their interface. We develop, analyze, and compare two approaches for space discretization, the Hybrid ...
Coercion-resistant cast-as-intended verifiability in electronic voting systems
(English) One of the most common fears regarding electronic voting is that a voting device will disregard the voter's intent and cast a different vote instead. An undetectable attack like that on a large scale will allow ...
Mathematical and computational modeling of flexoelectricity at fixed and moving interfaces, fracture surfaces and contact
(English) Flexoelectricity is a two-way coupling between strain gradient and polarisation or strain and polarization-gradient. Harnessing flexoelectricity as a functional property requires gradient engineering. This is a ...
Elliptic problems: regularity of stable solutions and a nonlocal Weierstrass extremal field theory
(English) This PhD dissertation deals with qualitative questions from the theory of elliptic Partial Differential Equations (PDE) and integro-differential equations. We are primarily interested in a distinguished class of ...
High-performance computing fluid-structure interaction model of bioprosthetic aortic valve replacements
(English) Computational modeling and simulation (CM&S) provides a powerful cost- and time-efficient tool to access detailed mechanistic information of biomedical problems, which is not accessible in either clinical imaging ...
Unstable motions in the three body problem
(English) The 3 Body Problem (3BP) models the motion of three bodies interacting via Newtonian gravitation. It is called restricted when one body has zero mass and the other two, the primaries, have strictly positive masses. ...
Theory and computation of multiscale epithelial mechanics : from active gels to vertex models
(English) Epithelial monolayers perform a variety of mechanical functions, which include maintaining a cohesive barrier or developing 3D shapes, while undergoing stretches over a wide range of magnitudes and loading rates. ...
Discrete operators and distances on subdivision networks
(English) The research we have carried out lies within the domain of diffusion problems for elliptic operators that are defined on discrete structures called networks, that are graphs that are capable of discriminating ...
Flexoelectricity at surface instabilities and stress singularities
(English) The flexoelectric effect, the two-way linear coupling between strain gradient and electric polarization (direct flexoelectricity) or electric field gradient and strain (converse flexoelectricity) universally ...
