Ana Jacinta Soares

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We consider physical and mathematical aspects of the model of simple reacting spheres (SRS) in the kinetic theory of chemically reacting fluids. The SRS, being a natural extension of the hard–sphere collisional model, reduces itself to the revised Enskog theory when the chemical reactions are turned off. In the dilute–gas limit, it provides an interesting(More)
In this work we present some results on the kinetic theory of chemically reacting gases, concerning the model of simple reacting spheres (SRS) for a gaseous mixture undergoing a chemical reaction of type A1 +A2 A3 +A4. Starting from the approach developed in paper [11], we provide properties of the SRS system needed in the mathematical and physical analysis(More)
We study the dynamics of spatially homogeneous and isotropic spacetimes containing a fluid undergoing microscopic velocity diffusion in a cosmological scalar field. After deriving a few exact solutions of the equations, we continue by analyzing the qualitative behavior of general solutions. To this purpose we recast the equations in the form of a two(More)
We consider a four component gas undergoing a bimolecular chemical reaction of type A1 + A2 A3 + A4, described by the Boltzmann equation (BE) for chemically reactive mixtures. We adopt hard-spheres elastic cross sections and modified line-of-centers reactive cross sections depending on both the activation energy and geometry of the reactive collisions. Then(More)
First, we are pleased to announce the launch of the new CIM Series in Mathematical Sciences to be published by Springer-Verlag. The birth of the CIM Series occurred during a meeting between the Executive Board of CIM and the Springer-Verlag Executive Editor Mathematics Martin Peters who honored us with a visit to CIM. The CIM Series will contain proceedings(More)
The structure and linear stability of the one-dimensional steady overdriven detonation wave supported by a chemical reaction of type A + A ⇋ B + B are examined in the frame of the Boltzmann equation extended to chemically reacting gases. The structure of the steady wave solution is determined solving the system of the Rankine-Hugoniot conditions(More)
Following the introduction of the wavelength-shifting fiber (WSF) gamma camera by Soares et al. and evolution of photodiodes into highly sensitive silicon photomultipliers (SiPMs), we have assembled a WSF gamma camera applying SiPMs to individually read out 1 mm diameter WSFs carrying the position information of scintillation events in a continuous CsI(Na)(More)
The aim of this work is to describe the light scattering spectra of a quaternary reacting gas mixture from the macroscopic field equations derived from the kinetic BGK-type model proposed by the authors in a previous paper. The study is developed in a hydrodynamic regime for which the system of the field equations of constituent number densities, momentum(More)
The present study deals with the extension of the exact and approximate models of the Boltzmann equation to a gas mixture of four constituents undergoing a reversible bimolecular reaction, and with its application to wave propagation problems. The paper intends to highlight how such Boltzmann type models, on the basis of a shared kinetic framework, can be(More)
A BGK-type model for a reactive multicomponent gas undergoing chemical bimolecular reactions is here presented. The mathematical and physical consistency of the model is stated in detail. The relaxation process towards local Maxwellians, depending on mass and numerical densities of each species, as well as on common mean velocity and temperature, is(More)