BIRD, BCAM's Institutional Repository Data: Recent submissions
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On a sharp Poincaretype inequality on the 2sphere and its application in micromagnetics
(SIAM Journal on Mathematical Analysis, 20190821)The main aim of this note is to prove a sharp Poincarétype inequality for vectorvalued functions on $\mathbb{S}^2$ that naturally emerges in the context of micromagnetics of spherical thin films. 
Design of effective bulk potentials for nematic liquid crystals via colloidal homogenisation
(Mathematical Models and Methods in Applied Sciences, 20200201)We consider a Landau–de Gennes model for a suspension of small colloidal inclusions in a nematic host. We impose suitable anchoring conditions at the boundary of the inclusions, and we work in the dilute regime — i.e. the ... 
The Well Order Reconstruction Solution for threedimensional wells, in the Landau–de Gennes theory
(International Journal of NonLinear Mechanics, 20200301)We study nematic equilibria on threedimensional square wells, with emphasis on Well Order Reconstruction Solutions (WORS) as a function of the well size, characterized by 𝜆, and the well height denoted by 𝜖. The WORS ... 
On the smallness condition in linear inviscid damping: monotonicity and resonance chains
(Nonlinearity, 2020)We consider the effects of mixing by smooth bilipschitz shear flows in the linearized Euler equations on $\mathbb{T}_{L}\times\mathbb{R}$. Here, we construct a model which is closely related to a small high frequency ... 
A geometric and physical study of Riemann's nondifferentiable function
(20200708)Riemann's nondifferentiable function is a classic example of a continuous but almost nowhere differentiable function, whose analytic regularity has been widely studied since it was proposed in the second half of the 19th ... 
Direct FEM computation of turbulent multiphase flow in 3D priting nozzle design
(2020)In this paper, we present a nozzle design of the 3D printing using FEniCSHPC as mathematical and simulation tool. In recent years 3D printing or Additive Manufacturing (AM) has become a emerging technology and it has ... 
Blisk blades manufacturing technologies analysis
(Procedia Manufacturing, 201906)The paper presents blisk blades manufactured by different manufacturing processes. In this sense, different milling trajectories are presented, and, super abrasive machining strategies and EDM technologies are also tested. ... 
A generalized Stefan model accounting for system memory and nonlocality
(International Communications in Heat and Mass Transfer, 202005)The Stefan problem, involving the tracking of an evolving phasechange front, is the prototypical example of a moving boundary problem. In basic one dimensional problems it is well known that the front advances as the ... 
A Deep Neural Network as Surrogate Model for Forward Simulation of Borehole Resistivity Measurements
(Procedia Manufacturing, 202001)Inverse problems appear in multiple industrial applications. Solving such inverse problems require the repeated solution of the forward problem. This is the most timeconsuming stage when employing inversion techniques, ... 
Borehole Resistivity Simulations of OilWater Transition Zones with a 1.5D Numerical Solver
(Computational Geosciences volume, 2020)When simulating borehole resistivity measurements in a reservoir, it is common to consider an oilwater contact (OWC) planar interface. However, this consideration can lead to an unrealistic model since in the presence of ... 
A Deep Learning Approach to the Inversion of Borehole Resistivity Measurements
(Computational Geosciences volume, 202004)Borehole resistivity measurements are routinely employed to measure the electrical properties of rocks penetrated by a well and to quantify the hydrocarbon pore volume of a reservoir. Depending on the degree of geometrical ... 
Some classes of homeomorphisms that preserve multiplicity and tangent cones
(AMERICAN MATHEMATICAL SOCIETY, 20200101)In this paper we present some applications of A’CampoLˆe’s Theorem and we study some relations between Zariski’s Questions A and B. It is presented some classes of homeomorphisms that preserve multiplicity and tangent ... 
The Nash Problem from Geometric and Topological Perspective
(WORLD SCIENTIFIC (EUROPE), 20200301)We survey the proof of the Nash conjecture for surfaces and show how geometric and topological ideas developed in previous articles by the authors influenced it. Later, we summarize the main ideas in the higher dimensional ... 
Pseudospectral Methods for the Fractional Laplacian on R
(20200702)In this thesis, first, we propose a novel pseudospectral method to approximate accu rately and efficiently the fractional Laplacian without using truncation. More pre cisely, given a bounded regular function defined over ... 
Neuronglial Interactions
(Encyclopedia of Computational Neuroscience, 20200607)Although lagging behind classical computational neuroscience, theoretical and computational approaches are beginning to emerge to characterize different aspects of neuronglial interactions. This chapter aims to provide ... 
GrigorchukGuptaSidki groups as a source for Beauvile surfaces
(Groups, Geometry, and Dynamics, 20200414)If $G$ is a GrigorchukGuptaSidki group defined over a $p$adic tree, where p is an odd prime, we study the existence of Beauville surfaces associated to the quotients of $G$ by its level stabilizers $st_G(n)$. We prove ... 
Effects of parameterization and knot placement techniques on primal and mixed isogeometric collocation formulations of spatial sheardeformable beams with varying curvature and torsion
(Computers & Mathematics with Applications, 202006)We present a displacementbased and a mixed isogeometric collocation (IGAC) formulation for freeform, threedimensional, sheardeformable beams with high and rapidlyvarying curvature and torsion. When such complex shapes ... 
Vortex Filament Equation for some Regular Polygonal Curves
(20200615)One of the most interesting phenomena in fluid literature is the occurrence and evolution of vortex filaments. Some of their examples in the real world are smoke rings, whirlpools, and tornadoes. For an ideal fluid, there ... 
Sharp reverse Hölder inequality for Cp weights and applications
(Journal of Geometric Analysis, 2020)We prove an appropriate sharp quantitative reverse Hölder inequality for the $C_p$ class of weights fromwhich we obtain as a limiting case the sharp reverse Hölder inequality for the $A_\infty$ class of weights (Hytönen ... 
Optimization of deep learning precipitation models using categorical binary metrics
(Journal of Advances in Modeling Earth Systems, 2020)This work introduces a methodology for optimizing neural network models using a combination of continuous and categorical binary indices in the context of precipitation forecasting. Probability of detection or false alarm ...