Matemática
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Stochastic integration in Hilbert spaces with respect to cylindrical martingale-valued measures
(2021)In this work we introduce a theory of stochastic integration for operator-valued integrands with respect to some classes of cylindrical martingale-valued measures in Hilbert spaces. The integral is constructed via the ... -
Stochastic Integration With Respect to Cylindrical Semimartingales
(2021)In this work we introduce a theory of stochastic integration with respect to general cylindrical semimartingales defined on a locally convex space Φ. Our construction of the stochastic integral is based on the theory of ... -
A multilayer network model of Covid-19: implications in public health policy in Costa Rica
(2022-05)Successful partnerships between researchers, experts, and public health authorities have been critical to navigate the challenges of the Covid-19 pandemic worldwide. In this collaboration, mathematical models have played ... -
Algebras of distributions suitable for phase-space quantum mechanics. III. The dual space of the algebra L_b(S)
(1989-09)The strong dual space of the topological algebra L_b(S), where S is the Schwartz space of smooth declining functions on R, may be obtained as an inductive limit of projective limits of Hilbert spaces. To that end, we ... -
Las representaciones metapléctica y de espín de ciertos grupos de simetría: un estudio comparativo
(2021-09)Los espacios de Fock son una construcción algebraica utilizada en mecánica cuántica para construir el espacio de estados cuánticos de un número desconocido de partículas idénticas a partir de una sola partícula, que ... -
The Stratonovich-Weyl correspondence: A general approach to Wigner functions
(1989)A formalism is proposed for developing phase-space representations of elementary quantum systems under general invariance groups. Several examples are discussed, including the usual Weyl calculus, the Moyal formulation ... -
On asymptotic expansions of twisted products
(1989-12)The series development of the quantum-mechanical twisted product is studied. The series is shown to make sense as a moment asymptotic expansion of the integral formula for the twisted product, either pointwise or in the ... -
Phase-space representation for Galilean quantum particles of arbitrary spin
(1988-09)The phase-space approach to quantization is extended to incorporate spinning particles with Galilean symmetry. The appropriate phase space is the coadjoint orbit R^6 x S^2. From two basic principles, traciality and ... -
Quadratic Hamiltonians in phase-space quantum mechanics
(1989-07)The dynamical evolution is described within the phase-space formalism by means of the Moyal propagator, which is the symbol of the evolution operator. Quadratic Hamiltonians on the phase space are distinguished in that ... -
The significance of physiologically structured models for fish stock dynamics
(1988)The present working document contains the initial papers of a series whose ultimate purpose is to provide a realistic basis for a fresh appraisal of both the surplus production and the dynamic pool approaches to fishery ... -
Algebras of distributions suitable for phase‐space quantum mechanics. II. Topologies on the Moyal algebra
(1988-06-04)The topology of the Moyal *-algebra may be defined in three ways: the algebra may be regarded as an operator algebra over the space of smooth declining functions either on the configuration space or on the phase space ... -
A posteriori error analysis of mixed finite element methods for stress-assisted diffusion problems
(2022)We develop the a posteriori error analysis for mixed-primal and fully-mixed finite element methods approximating the stress-assisted diffusion of solutes in elastic materials. The systems are formulated in terms of stress, ... -
Velocity‑vorticity‑pressure formulation for the Oseen problem with variable viscosity
(2021)We propose and analyse an augmented mixed finite element method for the Oseen equations written in terms of velocity, vorticity, and pressure with non-constant viscosity and homogeneous Dirichlet boundary condition for the ... -
Stability of a second-order method for phase change in porous media flow
(2018)We analyse the stability of a second-order finite element scheme for the primal formulation of a Brinkman-Boussinesq model where the solidification process influences the drag and the viscosity. The problem is written in ... -
Incorporating variable viscosity in vorticity-based formulations for Brinkman equations
(2019-06)In this brief note, we introduce a non-symmetric mixed finite element formulation for Brinkman equations written in terms of velocity, vorticity, and pressure with non-constant viscosity. The analysis is performed by the ... -
Rotation-Based Mixed Formulations for an Elasticity-Poroelasticity Interface Problem
(2020)In this paper we introduce a new formulation for the stationary poroelasticity equations written using the rotation vector and the total fluid-solid pressure as additional unknowns, and we also write an extension to the ... -
Algebras of distributions suitable for phase‐space quantum mechanics. I
(1988-06-04)The twisted product of functions on R^2N is extended to a *-algebra of tempered distributions which contains the rapidly decreasing smooth functions, the distributions of compact support, and all polynomials, and moreover ... -
Well-posedness and discrete analysis for advection-diffusion-reaction in poroelastic media
(2021)We analyse a PDE system modelling poromechanical processes (formulated in mixed form using the solid deformation, fluid pressure, and total pressure) interacting with diffusing and reacting solutes in the medium. We ... -
New mixed finite element methods for natural convection with phase-change in porous media
(2019)This article is concerned with the mathematical and numerical analysis of a steady phase change problem for non-isothermal incompressible viscous flow. The system is formulated in terms of pseudostress, strain rate and ... -
Stability and finite element approximation of phase change models for natural convection in porous media
(2019-11)In this paper we study a phase change problem for non-isothermal incompressible viscous flows. The underlying continuum is modelled as a viscous Newtonian fluid where the change of phase is either encoded in the viscosity ...
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