Quelques applications de la positivité en théorie du transport

DOI10.5802/afst.695zbMath0722.45009OpenAlexW2329792944MaRDI QIDQ3209620

Mustapha Mokhtar-Kharroubi

Publication date: 1990

Published in: Annales de la faculté des sciences de Toulouse Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1990_5_11_1_75_0

zbMATH Keywords

comparison theoremspectral theorypositive operatorskinetic theory of gasesfundamental eigenvaluelinear transport operatorB.G.K. linear transport equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Transport processes in time-dependent statistical mechanics (82C70) Integral operators (45P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Nuclear reactor theory; neutron transport (82D75) Radiative transfer in astronomy and astrophysics (85A25) Eigenvalue problems for integral equations (45C05)

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Asymptotic spectrum of the linear Boltzmann equation with general boundary conditions in finite bodies ⋮ Description of the real point spectrum for a class of neutron transport operators ⋮ Spectral Theory for Neutron Transport ⋮ On the approximation of the leading eigenelements for a class of transport operators ⋮ On the stochastic nonlinear neutron transport equation ⋮ A spectral mapping theorem for perturbed strongly continuous semigroups ⋮ Some applications of the regularity and irreducibility on transport theory ⋮ On the spectrum of the transport operator with abstract boundary conditions in slab geometry

Cites Work

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