Spectral properties and time asymptotic behaviour of linear transport equations in slab geometry
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Publication:2747387
DOI10.1002/mma.237zbMath1103.82027OpenAlexW1972480037MaRDI QIDQ2747387
Khalid Latrach, Abdelkader Dehici
Publication date: 10 March 2004
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.237
Asymptotic behavior of solutions to PDEs (35B40) One-parameter semigroups and linear evolution equations (47D06) Transport processes in time-dependent statistical mechanics (82C70)
Related Items
Asymptotic spectrum of the linear Boltzmann equation with general boundary conditions in finite bodies ⋮ Stability of the Essential Spectrum for Singular Transport Semigroups with Periodic Boundary Conditions ⋮ Positivity and stability of the essential spectrum for singular transport semigroups with non-vacuum boundary conditions ⋮ Some compactness and interpolation results for linear Boltzmann equation ⋮ Spectral distribution of transport operator arising in growing cell populations ⋮ Singular one-dimensional transport equations on \(L_{p}\) spaces. ⋮ Time asymptotic behavior of the solution to the linear Boltzmann equation in finite bodies ⋮ Weak spectral mapping theorems for \(C_0\)-groups associated to transport equations in slab geometry ⋮ Spectral analysis of transport equations with bounce-back boundary conditions ⋮ Time asymptotic behavior of the solution to a Cauchy problem governed by a transport operator
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