Convergence of the Dirac–Maxwell System to the Vlasov–Poisson System

DOI10.1080/03605300600635046zbMath1123.35048OpenAlexW2392322655MaRDI QIDQ3436047

Sigmund Selberg, Norbert J. Mauser

Publication date: 8 May 2007

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605300600635046

zbMATH Keywords

non-relativistic limitsemiclassical limitCoulomb gaugeWigner transformVlasov-Poisson equationsDirac spinorsnull form estimatesDirac-Maxwell equations

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) PDEs in connection with quantum mechanics (35Q40) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

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Nonrelativistic limits of the relativistic Cucker–Smale model and its kinetic counterpart ⋮ A simple and accurate mixed \(P^{0}-Q^{1}\) solver for the Maxwell-Dirac equations ⋮ On the Rotating Nonlinear Klein--Gordon Equation: NonRelativistic Limit and Numerical Methods ⋮ A post-Newtonian expansion including radiation damping for a collisionless plasma

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