Hilbert’s 6th problem: the relativistic version

2026/07/26 by Michael K.-H. Kiessling
Mathematics · Physics and Astronomy · #Gas Dynamics and Kinetic Theory #Dust and Plasma Wave Phenomena #Statistical Mechanics and Entropy

paper · pdf · doi:10.1007/s10714-026-03590-7

Abstract

Abstract This contribution summarizes the state of affairs in the derivation of the Vlasov equations of relativistic kinetic theory of plasma from a microscopic classical physical model of N relativistically moving point charges that interact via classical electromagnetic fields.

Citations

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Related

• Hydrodynamic and kinetic representation of the microscopic dynamics as the transitions on the macroscopic scale of description and meaning of the self-consistent field approximation in these models
• Hilbert Expansion for Coulomb Collisional Kinetic Models
• The modified Vlasov equations
• Relativistic kinetic theory of classical systems of charged particles: towards the microscopic foundation of thermodynamics and kinetics
• Exact solutions for the relativistic dynamics of a self-consistent system with electromagnetic and gravitational interaction within the Wigner-Vlasov formalism