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Your search keyword '"Furman, Yevgeni"' showing total 5 results
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5 results on '"Furman, Yevgeni"'

1. A hierarchy of reduced models to approximate Vlasov–Maxwell equations for slow time variations

Author

Assous, Franck and Furman, Yevgeni

Subjects
Vlasov–Maxwell equations, Asymptotic analysis, Paraxial model, Reduced models, Non-relativistic, Materials of engineering and construction. Mechanics of materials, TA401-492
Abstract

We introduce a new family of paraxial asymptotic models that approximate the Vlasov–Maxwell equations in non-relativistic cases. This formulation is $n$th order accurate in a parameter $\eta $, which denotes the ratio between the characteristic velocity of the beam and the speed of light. This family of models is interesting, first because it is simpler than the complete Vlasov–Maxwell equation and then because it allows us to choose the model complexity according to the expected accuracy.

Published
2021
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2. A hierarchy of reduced models to approximate Vlasov-Maxwell equations for slow time variations

Author

Assous, Franck and Furman, Yevgeni

Subjects
Mathematics - Numerical Analysis
Abstract

We introduce a new family of paraxial asymptotic models that approximate the Vlasov-Maxwell equations in non-relativistic cases. This formulation is $n$-th order accurate in a parameter $\eta$, which denotes the ratio between the characteristic velocity of the beam and the speed of light. This family of models is interesting, first because it is simpler than the complete Vlasov-Maxwell equation, then because it allows us to choose the model complexity according to the expected accuracy., Comment: 13 oages, o figures

Published
2020

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