TY - JOUR
T1 - Homogenization of the linear Boltzmann equation with a highly oscillating scattering term in extended phase space
AU - Bernard, Étienne
AU - Salvarani, Francesco
N1 - Publisher Copyright:
© 2023 Elsevier Ltd
PY - 2023/9/1
Y1 - 2023/9/1
N2 - In this article, we rigorously prove the homogenization limit of the linear Boltzmann 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.
AB - In this article, we rigorously prove the homogenization limit of the linear Boltzmann 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.
KW - Homogenization
KW - Linear Boltzmann equation
KW - Young measures
UR - https://www.scopus.com/pages/publications/85152935468
U2 - 10.1016/j.aml.2023.108672
DO - 10.1016/j.aml.2023.108672
M3 - Article
AN - SCOPUS:85152935468
SN - 0893-9659
VL - 143
JO - Applied Mathematics Letters
JF - Applied Mathematics Letters
M1 - 108672
ER -