Time asymptotic behaviour for linear transport equations with abstract boundary conditions in slab geometry

DOI10.1080/00411459408204346zbMath0816.45008OpenAlexW2096799105MaRDI QIDQ4317623

Khalid Latrach

Publication date: 20 December 1994

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411459408204346

zbMATH Keywords

inverse Laplace transformboundary operatorsslab geometrylarge-time asymptotic behaviortransport Cauchy problem

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Asymptotics of solutions to integral equations (45M05) Transport processes in time-dependent statistical mechanics (82C70)

Related Items (14)

Some fixed point theorems of the Schauder and the Krasnosel'skii type and application to nonlinear transport equations ⋮ On a nonlinear stationary problem arising in transport theory ⋮ On the essential spectrum of transport operators on L1-spaces ⋮ Essential spectra of some matrix operators and application to two-group transport operators with general boundary conditions ⋮ On an unbounded linear operator arising in the theory of growing cell population ⋮ Some remarks on the essential spectrum of transport operators with abstract boundary conditions ⋮ Time asymptotic description of the solution to an abstract Cauchy problem and application to transport equation ⋮ Time asymptotic behavior of the solution to the linear Boltzmann equation in finite bodies ⋮ Left-right Fredholm and Weyl spectra of the sum of two bounded operators and applications ⋮ The Asymptotic Behavior for the Transport Operator in Slab Geometry ⋮ DIFFUSION APPROXIMATION OF RADIATIVE TRANSFER EQUATIONS IN A CHANNEL ⋮ The stability of the linear transport equation in a nonmultiplying medium ⋮ On the spectrum of the transport operator with abstract boundary conditions in slab geometry ⋮ A characterization of the Schechter essential spectrum on Banach spaces and applications

Cites Work

• Unnamed Item
• Solution of the linearized Boltzmann transport equation for the slab geometry
• Spectral properties and asymptotic behavior of the linear transport equation
• Spectral properties of the neutron transport equation
• Boundary value problems in abstract kinetic theory
• A generalization of the Vidav-Jörgens perturbation theorem for semigroups and its application to transport theory
• A perturbation theorem for the essential spectral radius of strongly continuous semigroups
• Spectral methods in linear transport theory
• Spectral analysis of collectively compact, strongly convergent operator sequences
• Effective solution to the initial value problem in neutron thermalization theory
• Spectra of perturbed semigroups with applications to transport theory
• An asymptotic expansion in the theory of neutron transport
• A spectral, mapping theorem for the exponential function in ltnear transport theory
• Compactness properties for linear transport operators with abstract boundary conditions in slab geometry

This page was built for publication: Time asymptotic behaviour for linear transport equations with abstract boundary conditions in slab geometry