In this article, we rigorously prove the homogenization limit of the linear Boltz-mann equation when the scattering term is highly oscillating with respect to the velocity variable. We prove that the limit equation keeps, in a suitably extended phase space, the same structure as the non-homogenized one. This situation does not coincide with what happens in standard phase space, where the appearance of memory terms is expected. (c) 2023 Elsevier Ltd. All rights reserved.
Homogenization of the linear Boltzmann equation with a highly oscillating scattering term in extended phase space
Salvarani, F
2023-01-01
Abstract
In this article, we rigorously prove the homogenization limit of the linear Boltz-mann equation when the scattering term is highly oscillating with respect to the velocity variable. We prove that the limit equation keeps, in a suitably extended phase space, the same structure as the non-homogenized one. This situation does not coincide with what happens in standard phase space, where the appearance of memory terms is expected. (c) 2023 Elsevier Ltd. All rights reserved.File in questo prodotto:
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