Multi-scale paraxial models to approximate Vlasov-Maxwell equations

DOI10.1515/CMAM-2021-0082OpenAlexW4210683075MaRDI QIDQ2134449

Yevgeni Furman, Franck Assous

Publication date: 3 May 2022

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/cmam-2021-0082

zbMATH Keywords

asymptotic methodsVlasov-Maxwell equationsparaxial model

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Electromagnetic theory (general) (78A25) Motion of charged particles (78A35) Asymptotic expansions of solutions to ordinary differential equations (34E05) Electro- and magnetostatics (78A30) Numerical analysis (65-XX)

Related Items (1)

Numerical approximation of 3D particle beams by multi-scale paraxial Vlasov-Maxwell equations

Uses Software

• Vador
• ARCTIC

Cites Work

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• A PIC method for solving a paraxial model of highly relativistic beams
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• The ARCTIC charged particle beam propagation code
• A hierarchy of approximate models for the Maxwell equations
• A paraxial asymptotic model for the coupled Vlasov-Maxwell problem in electromagnetics
• ON THE PARAXIAL APPROXIMATION OF THE STATIONARY VLASOV-MAXWELL SYSTEM
• An analysis of the Darwin model of approximation to Maxwell’s equations
• PARAXIAL APPROXIMATION OF THE VLASOV-MAXWELL SYSTEM: LAMINAR BEAMS
• MODELING AND NUMERICAL SIMULATION OF SPACE CHARGE DOMINATED BEAMS IN THE PARAXIAL APPROXIMATION

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