In this work we develop and analyze new finite element methods for fluid and transport models. The new multiscale methods are locally conservative, minimize numerical instabilities and are naturally massively parallelizable. Constructed using a hybridization of the original model, the new Multisc...
Neste trabalho desenvolvemos e analisamos matematicamente novos métodos de elementos finitos para modelos de fluidos e de transporte com características multi-escalas. Os novos métodos são localmente conservativos, minimizam instabilidades numéricas e são naturalmente adaptados a uma implementaçã...
Between 2013 and 2015 Aguayo et al. developed an operator theory on the space c_0 of null sequences in the complex Levi-Civita field by defining an inner product on c_0 that induces the supremum norm on c_0 and then studying compact and self-adjoint operators on c_0, thus presenting a striking an...
The main goal of this dissertation is to propose a new method for linking measurements obtained
by different instruments. The proposal is developed in agreement with the idea of comparable scores defined in the context of educational measurement, specifically on equating methods (Angoff, 1971; K...
La tesis de José Javier Quinlan Binelli tiene como título "Repulsive
Processes: Theory and Applications". En la primera parte del trabajo
se discute una forma alternativa de modelamiento, basado en
distribuciones de vectores que tienen la propiedad de exp
The goal of this dissertation is to develop and analyze efficient numerical tools to deal with vibration problems for coupled systems involving elastic structures and dissipative fluids.We will consider the vibration problem of a clamped Timoshenko beam with variable cross section, an elasticity ...
El objetivo de esta tesis es desarrollar y analizar herramientas numéricas eficientes para resolver problemas acoplados que involucran estructuras elásticas y fluidos acústicos disipativos. Con este fin, en particular consideraremos problemas de vibraciones para una viga de Timoshenko empotrada c...
My thesis consists of contributions to the study of viscosity solutions of nonlinear parabolic equations. We address the phenomena of continuous solvability, loss of boundary conditions, and the large-time behavior for initial and boundary value problems associated to different generalizations of...
Mi tesis consiste de contribuciones al estudio de soluciones de viscosidad de ecuaciones parabólicas no lineales. Abordamos los fenómenos de existencia de soluciones continuas, pérdidas de condiciones de frontera, y comportamiento asintótico de soluciones de problemas con condiciones iniciales y ...
In this thesis firstly we study the existence of T−periodic solutions to the second order differential equation
$$u′′ =\frac{ h(t)}{u^\lambda}.$$
Here $h \in L(\mathbb{R}/T\mathbb{Z})$ is a piecewise constant sign-changing function and the non- linear term presents a weak singularity at 0 (i.e....
En esta tesis comenzamos por estudiar la existencia de soluciones T−periódicas para la ecuación diferencial de segundo orden
$$u′′ =\frac{ h(t)}{u^\lambda}.$$
Aqui $h \in L(\mathbb{R}/T\mathbb{Z}) es un función constante a tramos, que cambia de signo, y el término no lineal presenta una singula...
We introduce a condition on Garside groups that we call Dehornoy structure. An iteration of such a structure leads to a left order on the group. We show conditions for a Garside group to admit a Dehornoy structure, and we apply these criteria to prove that the Artin groups of type A and I2(m), m ...
The thesis studies the nonlinear stability of elliptical balances of autonomous Hamiltonian systems with n degrees of freedom. Where it is assumed that the quadratic part is diagonalizable and that there may or may not be resonances. On the one hand, there is a criterion for obtaining stability o...
La tesis estudia la estabilidad no lineal de equilibrios elípticos de sistemas hamiltonianos autónomos con n grados de libertad. Donde se supone que la parte cuadrática es diagonalizable y que puede haber o no resonancias. Por un lado, se da un criterio para obtener estabilidad de Lie y en el cas...
