Browsing Matemática by Subject "MATEMÁTICAS"
Now showing items 1-18 of 18
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A mixed-primal finite element approximation of a sedimentation–consolidation system
(2016)This paper is devoted to the mathematical and numerical analysis of a strongly cou- pled flow and transport system typically encountered in continuum-based models of sedimentation–consolidation processes. The model focuses ... -
A mixed-primal finite element method for the coupling of Brinkman-Darcy flow and nonlinear transport.
(2021-01)This paper is devoted to the mathematical and numerical analysis of a model describing the interfacial flow-transport interaction in a porous-fluidic domain. The medium consists of a highly permeable material, where the ... -
A posteriori error analysis of a fully-mixed formulation for the Brinkman–Darcy problem
(2017-09-05)We develop the a posteriori error analysis for a mixed finite element method applied to the coupling of Brinkman and Darcy equations in 3D, modelling the interaction of viscous and non-viscous flow effects across a given ... -
An augmented mixed–primal finite element method for a coupled flow–transport problem
(2015)In this paper we analyze the coupling of a scalar nonlinear convection-diffusion problem with the Stokes equations where the viscosity depends on the distribution of the solution to the transport problem. An augmented ... -
Aposteriori error estimation for an augmented mixed-primal method applied to sedimentation–consolidation systems
(2018-08-15)In this paper we develop the aposteriorierror analysis of an augmented mixed-primal finite element method for the 2D and 3D versions of a stationary flow and transport coupled system, typically encountered in sedimentati ... -
Connes' tangent groupoid and strict quantization
(1999-12)We address one of the open problems in quantization theory recently listed by Rieffel. By developing in detail Connes' tangent groupoid principle and using previous work by Landsman, we show how to construct a strict flabby ... -
La enseñanza de las matemáticas con un énfasis histórico
(1986)Se reconsidera el problema de cuánto y cómo integrar la historia de la matemática en el currículo de pregrado universitario en matemáticas. Se pasa revista a varias alternativas y se propone una en particular: el diseño ... -
Examples of noncommutative geometrical spaces
(2004-01)We develop some examples of spectral triples in noncommutative geometry, on the theme of the noncommutative torus but with several variations. -
Faà di Bruno Hopf algebras
(2022-11)This is a short review on the Faà di Bruno formulas, implementing composition of real-analytic functions, and a Hopf algebra associated to such formulas. This structure allows, among several other things, a short proof of ... -
From geometric quantization to Moyal quantization
(1995-06)We show how the Moyal product of phase-space functions, and the Weyl correspondence between symbols and operator kernels, may be obtained directly using the procedures of geometric quantization, applied to the symplectic ... -
Groups definable in partial differential fields with an automorphism
(2021-09-28)In this paper we study groups definable in existentially closed partial differential fields of characteristic 0 with an automorphism which commutes with the derivations. In particular, we study Zariski dense definable ... -
Noncommutative geometry and quantization
(2000-06)We examine some recent developments in noncommutative geometry, including spin geometries on noncommutative tori and their quantization by the Shale-Stinespring procedure, as well as the emergence of Hopf algebras as a ... -
On summability of distributions and spectral geometry
(1998-01)Modulo the moment asymptotic expansion, the Cesàro and parametric behaviours of distributions at infinity are equivalent. On the strength of this result, we construct the asymptotic analysis for spectral densities arising ... -
On the ultraviolet behaviour of quantum fields over noncommutative manifolds
(1999-03)By exploiting the relation between Fredholm modules and the Segal-Shale-Stinespring version of canonical quantization, and taking as starting point the first-quantized fields described by Connes' axioms for noncommutative ... -
Quantum electrodynamics in external fields from the spin representation
(1994-07)Systematic use of the infinite-dimensional spin representation simplifies and rigorizes several questions in quantum field theory. This representation permutes "Gaussian" elements in the fermion Fock space, and is necessarily ... -
Quantum symmetry groups of noncommutative spheres
(2001-08)We show that the noncommutative spheres of Connes and Landi are quantum homogeneous spaces for certain compact quantum groups. We give a general construction of homogeneous spaces which support noncommutative spin geometries. -
The interface of noncommutative geometry and physics
(2004-01)As a mathematical theory per se, noncommutative geometry (NCG) is by now well established. From the beginning, its progress has been crucially influenced by quantum physics: we briefly review this development in recent ... -
The metaplectic representation and boson fields
(1991-12)We construct explicitly the infinite-dimensional metaplectic representation and show how its use simplifies and rigorizes several questions in bosonic Quantum Field Theory. The representation permutes Gaussian elements in ...