6 citations · 12 across the 6 of their papers we have counts for
6 papers
Hydrodynamics of degenerate Fermi gases on spherical Fermi surfaces
Benjamin Anwasia, Diogo Arsénio
We consider the description of a Fermi gas of free electrons given by the Boltzmann--Fermi--Dirac equation, and aim at providing a precise mathematical understanding of the Fermi g…
Quantized collision invariants on the sphere
Benjamin Anwasia, Diogo Arsénio
We show that a measurable function , with , satisfies the functional relation \begin{equation*} g(ω)+g(ω_*)=g(ω')+g(ω_*'), \end{equation*}…
Maximum entropy principle approach to a non-isothermal Maxwell-Stefan diffusion model
Benjamin Anwasia, Srboljub Simić
In this study we apply the maximum entropy principle to derive the properly scaled velocity distribution function of Boltzmann equations for mixtures, which leads to a non-isotherm…
The Maxwell-Stefan Diffusion Limit of a Hard-Sphere Kinetic Model for Mixtures
Benjamin Anwasia
We study a kinetic model for non-reactive mixtures of monatomic gases with hard-sphere cross-sections under isothermal condition. By considering a diffusive scaling of the kinetic…
On the Maxwell-Stefan diffusion limit for a reactive mixture of polyatomic gases in non-isothermal setting
Benjamin Anwasia, Marzia Bisi, Francesco Salvarani +1
In this article we deduce a mathematical model of Maxwell-Stefan type for a reactive mixture of polyatomic gases with a continuous structure of internal energy. The equations of th…
From the simple reacting sphere kinetic model to the reaction-diffusion system of Maxwell-Stefan type
Benjamin Anwasia, Patrícia Gonçalves, Ana Jacinta Soares
In this paper we perform a formal asymptotic analysis on a kinetic model for reactive mixtures in order to derive a reaction-diffusion system of Maxwell-Stefan type. More specifica…