Programa de Doctorat en Matemàtica Aplicada: Envíos recientes
Mostrando ítems 121-140 de 200
Decomposition techniques for computational limit analysis
Limit analysis is relevant in many practical engineering areas such as the design of mechanical structure or the analysis of soil mechanics. The theory of limit analysis assumes a rigid, perfectly-plastic material to model ...
Geometrical structures of higher-order dynamical systems and field theories
Geometrical physics is a relatively young branch of applied mathematics that was initiated by the 60's and the 70's when A. Lichnerowicz, W.M. Tulczyjew and J.M. Souriau, among many others, began to study various topics ...
Arithmetic properties of non-hyperelliptic genus 3 curves
This thesis explores the explicit computation of twists of curves. We develope an algorithm for computing the twists of a given curve assuming that its automorphism group is known. And in the particular case in which the ...
Beyond the classical Stefan problem
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 theory. The mathematical ...
Elliptic and parabolic PDEs : regularity for nonlocal diffusion equations and two isoperimetric problems
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 of particles with ...
Integro-differential equations : regularity theory and Pohozaev identities
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 isoperimetric and ...
Global instability in the elliptic restricted three body problem
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 space for certain ...
Propagation in reaction-diffusion equations with fractional diffusion
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 or spreading of ...
The inverse problem on finite networks
The aim of this thesis is to contribute to the field of discrete boundary value problems on finite networks. Boundary value problems have been considered both on the continuum and on the discrete fields. Despite working ...
Validation and generation of curved meshes for high-order unstructured methods
In this thesis, a new framework to validate and generate curved high-order meshes for complex models is proposed. The main application of the proposed framework is to generate curved meshes that are suitable for finite ...
A network approach for strapdown inertial kinematic gravimetry
Compared to the conventional ground measurement of gravity, airborne gravimetry is more efficient and cost-effective. Especially, the combination of GPS and INS is known to show very good performances recovering the gravity ...
Continuous-discontinuous modelling for quasi-brittle failure: propagating cracks in a regularised bulk
A new strategy to describe failure of quasi-brittle materials -concrete, for example- is presented. Traditionally, numerical simulation of quasi-brittle failure has been tackled from two different points of view: damage ...
The Removal Lemma: algebraic versions and applications
This thesis presents some contributions in additive combinatorics and arithmetic Ramsey theory. More specifically, it deals with the interaction between combinatorics, number theory and additive combinatorics. This area ...
Local and global phenomena in piecewise-defined systems: from big bang bifurcations to splitting of heteroclinic manifolds
In the first part, we formally study the phenomenon of the so-called big bang bifurcations, both for one and two-dimensional piecewise-smooth maps with a single switching boundary. These are a special type of organizing ...
Haar Wavelets-Based Methods for Credit Risk Portfolio Modeling
In this dissertation we have investigated the credit risk measurement of a credit portfolio by means of the wavelets theory. Banks became subject to regulatory capital requirements under Basel Accords and also to the ...
The equations of Rees algebras of ideals of almost-linear type
L’àlgebra de Rees R(I) d’un ideal I d’un anell Noetherià local R juga un paper molt important en àlgebra commutativa i geometria algebraica, perquè Proj(R(I)) és l’explosió (blowup) de l’esquema afí Spec(R) al llarg del ...
On geometric quantisation of integrable systems with singularities
This thesis shows an approach to geometric quantisation of integrable systems. It extends some results by Guillemin, Kostant, Rawnsley, Sniatycki and Sternberg in geometric quantisation, considering regular fibrations as ...
Contributions to secret sharing and other distributed cryptosystems
The present thesis deals with primitives related to the eld of distributed cryptography. First, we study signcryption schemes, which provide at the same time the functionalities of encryption and signature, where the ...
Hodge numbers of irregular varieties and fibrations
In this thesis we study the geography of irregular complex projective (or compact Kähler) varieties, paying special attention to the existence of fibrations. The thesis is divided into two parts. In the first one we ...
Explicit integration of some integrable systems of classical mechanics
The main objective of the thesis is the analytical and geometrical study of several integrable finite-dimentional dynamical systems of classical mechanics, which are closely related, namely: - the classical generalization ...
