Abstract
We study the one-dimensional streaming operator in slab domain with general boundary conditions described by a linear operator K. We prove that the streaming operator generates a strongly continuous semigroup and determine its upper bound. We also give the expression of the generated semigroup, which we use to describe its asymptotic behavior in the next article in this issue.
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Boulanouar, M. Generation Theorem for the Streaming Operator in Slab Geometry. Journal of Dynamical and Control Systems 9, 33–51 (2003). https://doi.org/10.1023/A:1022151116639
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DOI: https://doi.org/10.1023/A:1022151116639