GLOBAL SOLUTIONS FOR THE ONE-DIMENSIONAL VLASOV–MAXWELL SYSTEM FOR LASER-PLASMA INTERACTION

DOI10.1142/S0218202506001042zbMath1106.35110arXivmath/0609397OpenAlexW2005047792MaRDI QIDQ5468979

José Antonio Carrillo, Simon Labrunie

Publication date: 3 May 2006

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609397

zbMATH Keywords

weak solutionsnonlinear stabilityglobal existencekinetic equationsVlasov-Maxwell systemcharacteristic solutions

Mathematics Subject Classification ID

Related Items (10)

A semi‐relativistic time‐fractional <scp>Vlasov–Maxwell</scp> code for numerical simulation based on circular polarization and Landau damping instability ⋮ A novel scheme for time‐fractional semi‐relativistic <scp>Vlasov–Maxwell</scp> system based on <scp>laser‐plasma</scp> interaction with linear polarization and Landau damping instability ⋮ Numerical simulations of one laser-plasma model based on Poisson structure ⋮ Higher dimensional semi-relativistic time-fractional Vlasov-Maxwell code for numerical simulation based on linear polarization and 2D Landau damping instability ⋮ High-electric-field limit for the Vlasov-Maxwell-Fokker-Planck system ⋮ Finite speed propagation of the solutions for the relativistic Vlasov-Maxwell system ⋮ Mild solutions for the relativistic Vlasov-Maxwell system for laser-plasma interaction ⋮ Convergence of a semi-Lagrangian scheme for the reduced Vlasov-Maxwell system for laser-plasma interaction ⋮ Stability of rarefaction wave for a macroscopic model derived from the Vlasov-Maxwell-Boltzmann system ⋮ Energy conserving particle-in-cell methods for relativistic Vlasov-Maxwell equations of laser-plasma interaction

Cites Work

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• On Classical Solutions of the Nordström-Vlasov System
• Nonlinear Stability in L^p for a Confined System of Charged Particles
• Existence and Uniqueness of the Mild Solution for the 1D Vlasov--Poisson Initial-Boundary Value Problem

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