A POINTWISE BOUND ON THE ELECTROMAGNETIC FIELD GENERATED BY A COLLISIONLESS PLASMA

DOI10.1142/S0218202505000789zbMath1162.82320OpenAlexW2038819185MaRDI QIDQ5708717

Christophe Pallard

Publication date: 21 November 2005

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

Full work available at URL: https://doi.org/10.1142/s0218202505000789

zbMATH Keywords

classical solutionskinetic equationsVlasov-Maxwell system

Mathematics Subject Classification ID

PDEs in connection with relativity and gravitational theory (35Q75) Statistical mechanics of plasmas (82D10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (1)

The Einstein-Vlasov system/kinetic theory

Cites Work

• Absence of shocks in an initially dilute collisionless plasma
• Global classical solutions of the Vlasov-Poisson system in three dimensions for general initial data
• The ``Two and one-half dimensional relativistic Vlasov Maxwell system
• The relativistic Vlasov-Maxwell system in two space dimensions: I. II
• Nonresonant smoothing in Sobolev spaces for coupled wave + transport equations.
• Classical solutions and the Glassey-Strauss theorem for the 3D Vlasov-Maxwell system
• Global existence of smooth solutions to the vlasov poisson system in three dimensions
• On the asymptotic growth of the solutions of the vlasov-poisson system

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