Deterministic homogenization of Vlasov equations

Deterministic homogenization of Vlasov equations

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.

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Veröffentlicht in:Mathematical methods in the applied sciences 2020-02, Vol.43 (3), p.1359-1379
Hauptverfasser: Kenne, Rodrigue B., Nguetseng, Gabriel, Woukeng, Jean Louis
Format: Artikel
Sprache:eng
Schlagworte:
algebras with mean value
deterministic homogenization
Electromagnetic fields
Homogenization
Mathematical analysis
Mathematics
Mathematics, Applied
Physical Sciences
Science & Technology
sigma‐convergence
Vlasov equations
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Zusammenfassung: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.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.5953