Programa de Doctorat en Matemàtica Aplicada: Recent submissions
Now showing items 61-80 of 200
Locally adaptive phase-field models and transition to fracture
This thesis proposes a new computational model for the efficient simulation of crack propagation, through the combination of a phase-field model in small subdomains around crack tips and a discontinuous model in the rest ...
(1, ≤ ℓ)-identifying codes in digraphs and graphs
The main subject of this PhD thesis is the study of (1,=l)-identifying codes in digraphs. The results presented in this work are divided into three parts. The first one focusses on the structural properties of digraphs ...
Diffusion processes and nanoparticle growth
Es conocido que muchas propiedades de las nanopartículas, como la luminiscencia, la fotoestabilidad, la eficiencia de la radiación óptica y las propiedades eléctricas, dependen del tamaño. Por lo tanto, la capacidad de ...
Additive structures and randomness in combinatorics
Arithmetic Combinatorics, Combinatorial Number Theory, Structural Additive Theory and Additive Number Theory are just some of the terms used to describe the vast field that sits at the intersection of Number Theory and ...
Generalized Delaunay triangulations : graph-theoretic properties and algorithms
This thesis studies different generalizations of Delaunay triangulations, both from a combinatorial and algorithmic point of view. The Delaunay triangulation of a point set S, denoted DT(S), has vertex set S. An edge uv ...
Bernstein-Sato polynomial of plane curves and Yano's conjecture
The main aim of this thesis is the study of the Bernstein-Sato polynomial of plane curve singularities. In this context, we prove a conjecture posed by Yano about the generic b-exponents of a plane irreducible curve. In ...
Algebraic and algorithmic aspects of Zm × Fn : fixed subgroups and quantification of inertia
This work is based on the family of groups Z^m x F_n, namely free-abelian times free groups, direct products of finitely many copies of Z and a finitely generated free group F_n. These are a special type of right-angled ...
Estimates and rigidity for stable solutions to some nonlinear elliptic problems
My thesis deals with the study of elliptic PDE. It is divided into two parts, the first one concerning a nonlinear equation involving the p-Laplacian, and the second one focused on a nonlocal problem. In the first part, ...
Product of digraphs, (super) edge-magic valences and related problems
Discrete Mathematics, and in particular Graph Theory, has gained a lot of popularity during the last 7 decades. Among the many branches in Graph Theory, graph labelings has experimented a fast development, in particular ...
Non-classical thermal transport and phase change at the nanoscale
For 200 years, Fourier’s law has been used to describe heat transfer with excellent results. However, as technology advances, more and more situations arise where heat conduction is not well described by the classical ...
Stable solutions of nonlinear fractional elliptic problems
This thesis is devoted to study integro-differential equations. This type of equations constitutes nowadays a very active field of research which has important applications in modeling real-life phenomena where nonlocal ...
Stratification theory of matrix pairs under equivalence and contragredient equivalence
We develop the theory of perturbations of matrix pencils basing on their miniversal deformations. Several applications of this theory are given. All possible Kronecker pencils that are canonical forms of pencils in an ...
On the role of oscillatory dynamics in neural communication
In this Thesis we consider problems concerning brain oscillations generated across the interaction between excitatory (E) and inhibitory (I) cells. We explore how two neuronal groups with underlying oscillatory activity ...
Inverse Jacobian and related topics for certain superelliptic curves
Given an elliptic curve E over the complex numbers (CC) given by y^2 = x^3 + ax + b, there exists a lattice L in CC such that the group E(CC) of complex points on E is isomorphic to the complex analytic group CC/L. This ...
Parallel Lagrangian particle transport : application to respiratory system airways
This thesis is focused on particle transport in the context of high computing performance (HPC) in its widest range, from the numerical modeling to the physics involved, including its parallelization and post-process. The ...
A theoretical and computational study of soft adhesion mediated by mobile binders
We examine a classical problem in soft-matter physics: the specific adhesion between deformable elastic objects, such as vesicles, mediated by mobile adhesion molecules. This problem is relevant to cell-cell adhesion. To ...
Multimodal ventricular tachycardia analysis : towards the accurate parametrization of predictive HPC electrophysiological computational models
After a myocardial infarction, the affected areas of the cardiac tissue suffer changes in their electrical and mechanical properties. This post-infarction scar tissue has been related with a particular type of arrhythmia: ...
A contribution to consensus modeling in decision-making by means of linguistic assessments
Decision-making is an active field of research. Specifically, in recent times, a lot of contributions have been presented on decision-making under linguistic assessments. To tackle this kind of processes, hesitant fuzzy ...
Global instability in Hamiltonian systems
In Chapters 1 and 2 of this thesis, we prove that for any non-trivial perturbation depending on any two independent harmonics of a pendulum and a rotor there is global instability. The proof is based on the geometrical ...
A multisymplectic approach to gravitational theories
The theories of gravity are one of the most important topics in theoretical physics and mathematical physics nowadays. The classical formulation of gravity uses the Hilbert-Einstein Lagrangian, which is a singular ...
