Stability of the essential spectrum for 2D‐transport models with Maxwell boundary conditions

B Lods, M Sbihi - Mathematical methods in the applied …, 2006 - Wiley Online Library
We discuss the spectral properties of collisional semigroups associated to various models
from transport theory by exploiting the links between the so‐called resolvent approach and …

A resolvent approach to the stability of essential and critical spectra of perturbed C0-semigroups on Hilbert spaces with applications to transport theory

M Sbihi - Journal of Evolution Equations, 2007 - Springer
A resolvent approach to the stability of essential and critical spectra of perturbed C0-semigroups
on Hilbert spaces with applic Page 1 J.evol.equ. 7 (2007), 35–58 © 2006 Birkhäuser Verlag …

Spectral analysis of transport equations with bounce‐back boundary conditions

K Latrach, B Lods - Mathematical methods in the applied …, 2009 - Wiley Online Library
We investigate the spectral properties of the time‐dependent linear transport equation with
bounce‐back boundary conditions. A fine analysis of the spectrum of the streaming operator …

Exponential convergence to the Maxwell distribution for some class of Boltzmann equations

J Fröhlich, Z Gang - Communications in Mathematical Physics, 2012 - Springer
We consider a class of nonlinear Boltzmann equations describing return to thermal
equilibrium in a gas of colliding particles suspended in a thermal medium. We study …

Spectral Mapping Theorems for Neutron Transport, L1-Theory

M Mokhtar-Kharroubi, M Sbihi - Semigroup Forum, 2006 - Springer
This work deals with spectral mapping theorems for neutron transport semigroups in
unbounded geometries and L 1 setting. The mathematical analysis relies on harmonic …

Spectral theory for neutron transport

M Mokhtar-Kharroubi - Evolutionary Equations with Applications in Natural …, 2014 - Springer
These notes resume a lecture given in the Cimpa School “Evolutionary equations with
applications in natural sciences” held in South Africa (Muizenberg, July 22–August 2, 2013) …

Analyse spectrale de modèles neutroniques

M Sbihi - 2005 - theses.hal.science
Cette thèse porte principalement sur l'étude spectrale de divers modèles neutroniques. Elle
consiste en trois parties complémentaires. La première partie est consacrée aux problèmes …

The Error Bounds for Three-Dimensional Nodal LTSN Method

EB Hauser, RP Pazos… - International …, 2008 - asmedigitalcollection.asme.org
In this paper we present a proof about the convergence of the 3D Nodal-LTSN Method in
order to solve the transport problem in a parallelepiped domain. For that, we define functions …

Weak spectral mapping theorems for C0-groups associated to transport equations in slab geometry

K Latrach, B Lods, M Mokhtar-Kharroubi - Journal of mathematical analysis …, 2008 - Elsevier
We show in this paper that the C0-groups governing neutron transport equations with
reflecting boundary conditions in slab geometry satisfy a weak spectral mapping theorem in …

On some measure convolution operators in neutron transport theory

M Mokhtar-Kharroubi - Acta applicandae mathematicae, 2014 - Springer
On Some Measure Convolution Operators in Neutron Transport Theory | SpringerLink Skip to
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