TY - JOUR
T1 - A new paraxial asymptotic model for the relativistic Vlasov-Maxwell equations
AU - Assous, Franck
AU - Chaskalovic, J.
PY - 2012/10
Y1 - 2012/10
N2 - We introduce a new paraxial asymptotic model to approximate the Vlasov-Maxwell equations. This formulation is fourth order accurate in a parameter η which denotes the ratio between the transverse characteristic velocity of the beam and the speed of light. The model is interesting because it is simpler than the complete Vlasov-Maxwell equations, and is an accurate approximation of them. This model should give an accurate, fast and easy to implement numerical method of solution.
AB - We introduce a new paraxial asymptotic model to approximate the Vlasov-Maxwell equations. This formulation is fourth order accurate in a parameter η which denotes the ratio between the transverse characteristic velocity of the beam and the speed of light. The model is interesting because it is simpler than the complete Vlasov-Maxwell equations, and is an accurate approximation of them. This model should give an accurate, fast and easy to implement numerical method of solution.
KW - Asymptotic analysis
KW - Computational fluid mechanics
KW - Paraxial model
KW - Vlasov-Maxwell equations
UR - http://www.scopus.com/inward/record.url?scp=84870390816&partnerID=8YFLogxK
U2 - 10.1016/j.crme.2012.09.002
DO - 10.1016/j.crme.2012.09.002
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AN - SCOPUS:84870390816
SN - 1631-0721
VL - 340
SP - 706
EP - 714
JO - Comptes Rendus - Mecanique
JF - Comptes Rendus - Mecanique
IS - 10
ER -