A Vlasov equation with Dirac potential used in fusion plasmas

DOI10.1063/1.4765338zbMath1457.82405OpenAlexW2045136024MaRDI QIDQ2872367

Claude Bardos, Anne Nouri

Publication date: 14 January 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4765338

zbMATH Keywords

Vlasov equationfusion plasmas

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Statistical mechanics of plasmas (82D10) Motion of charged particles (78A35) Nuclear reactor theory; neutron transport (82D75) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Vlasov equations (35Q83) Integro-partial differential equations (35R09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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Cites Work

• Analytic solutions to a strongly nonlinear Vlasov equation
• On the waterbag continuum
• Derivation of a gyrokinetic model. Existence and uniqueness of specific stationary solution
• The multi-water-bag equations for collisionless kinetic modeling
• Problèmes de Cauchy abstraits et applications à quelques problèmes mixtes
• Compressible, inviscid Rayleigh-Taylor instability
• A note on Prandtl boundary layers
• Electrostatic Instabilities of a Uniform Non-Maxwellian Plasma
• On the ill-posedness of the Prandtl equation
• The semiclassical limit of the defocusing NLS hierarchy

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