Vlasov-Maxwell-Boltzmann diffusive limit

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dc.creatorJang, Juhi
dc.date2006-01-30
dc.date.accessioned2026-07-07T06:59:30Z
dc.date.available2026-07-07T06:59:30Z
dc.descriptionWe study the diffusive expansion for solutions around Maxwellian equilibrium and in a periodic box to the Vlasov-Maxwell-Boltzmann system, the most fundamental model for an ensemble of charged particles. Such an expansion yields a set of dissipative new macroscopic PDE's, the incompressible Vlasov-Navier-Stokes-Fourier system and its higher order corrections for describing a charged fluid, where the self-consistent electromagnetic field is present. The uniform estimate on the remainders is established via a unified nonlinear energy method and it guarantees the global in time validity of such an expansion up to any order.
dc.description46 pages
dc.identifierhttps://arxiv.org/abs/math/0601740
dc.identifierhttp://arxiv.org/abs/math/0601740
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107768
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject76P05; 35Q30
dc.titleVlasov-Maxwell-Boltzmann diffusive limit
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