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Front propagation in random media.
(2019-10-25)
This PhD thesis deals with the problem of the propagation of fronts under random circumstances. Astatistical model to represent the motion of fronts when are evolving in a media characterized bymicroscopical randomness is ...
The Schrödinger Equaton and Uncertainty Principles
(2020-09-02)
The main task of this thesis is the analysis of the initial data u0 of Schrödinger’s initial value problem in order to determine certain properties of its dynamical evolution. First, we consider the elliptic Schrödinger ...
A geometric and physical study of Riemann's non-diferentiable function.
(2020-07-08)
Riemann's non-differentiable function is a classic example of a continuous but almost nowheredifferentiable function, whose analytic regularity has been widely studied since it was proposedin the second half of the 19th ...
The forward problem for the electromagnetic Helmholtz equation
(2014-03-12)
[EN]We consider the Helmholtz equation in Rd, d 3, with electric and magnetic potentials.
The aim of this thesis is to study the direct problem of such an equation for potentials that
decay at in nity, but also have ...
On adomian based numerical schemes for euler and navier-stokes equations, and application to aeroacoustic propagation
(2018-03-09)
En esta tesis se ha desarrollado un nuevo método de integración en tiempo de tipo derivadas sucesivas (multiderivative), llamado ABS y basado en el algoritmo de Adomian. Su motivación radica en la reducción del coste de ...
Various results concerning homogenisation of nematic liquid crystals
(2022-10-17)
In this tesis we present various results concerning homogenisation ofnematic liquid crystals: two of them are in perforated domains, while the other oneconcerns rates of convergence for boundary homogenisation. The first ...
Algorithms for large orienteering problems
(2021-02-25)
Tesi lan honetan, tamaina handiko Orientazio Problemak ebazteko algoritmoak garatu ditugu. Orientazio Problema optimizazio konbinatorioko problema bat da: herri multzo bat eta hauen arteko distantzia emanik, herri bakoitzak ...
Advanced mathematical modelling of pancreatic B-cells
(2019-12-10)
[EN*Insulin-secreting pancreatic ß-cells are responsible for maintaining the whole body glucosehomeostasis. Dysfunction or loss of ß-cell mass results in impaired insulin secretion and, in somecases, diabetes. In this ...
Finite element simulations: computations and applications to aerodynamics and biomedicine.
(2020-12-11)
Las ecuaciones en derivadas parciales describen muchos fenómenos de interés práctico y sus solucionessuelen necesitar correr simulaciones muy costosas en clústers de cálculo.En el ámbito de los flujos turbulentos, en ...
The random diffusivity approach for diffusion in heterogeneous systems.
(2020-12-16)
The two hallmark features of Brownian motion are the linear growth of the meansquared displacement (MSD) with diffusion coefficient D in d spatial dimensions, andthe Gaussian distribution of displacements. With the increasing ...