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Deterministic homogenization of Vlasov equations
Author(s) -
Kenne Rodrigue B.,
Nguetseng Gabriel,
Woukeng Jean Louis
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5953
Subject(s) - homogenization (climate) , mathematics , vlasov equation , maxwell's equations , mathematical analysis , plasma , physics , biodiversity , ecology , quantum mechanics , biology
We address the homogenization of the Vlasov equations using the sigma‐convergence method. Assuming that the electromagnetic field is strong and is highly oscillating in both space and time, we derive the homogenization result. We then study some special cases leading to already known results.