scientific article

zbMath0767.58045MaRDI QIDQ3989670

Norbert Noutchegueme, Yvonne Choquet-Bruhat

Publication date: 28 June 1992

Full work available at URL: http://www.numdam.org/item?id=AIHPA_1991__55_3_759_0

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

plasmaCauchy problemgauge fieldYang-Mills-Vlasov equations

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of global analysis to the sciences (58Z05) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Statistical mechanics of plasmas (82D10)

Related Items (7)

Regular Solutions for the relativistic Boltzmann equation in Yang-Mills field ⋮ The coupled Yang-Mills-Boltzmann system in Bianchi type I space-time ⋮ Characteristic Cauchy problem for the Einstein equations with Vlasov and scalar matters in arbitrary dimension ⋮ Viscosity solutions for the Vlasov equation in the presence of a Yang-Mills field in temporal gauge ⋮ Viscosity solutions for the one-body Liouville equation in Yang-Mills charged Bianchi models with non-zero mass ⋮ Optimal control problem and viscosity solutions for the Vlasov equation in Yang-Mills charged Bianchi models ⋮ The Einstein-Vlasov system/kinetic theory

Cites Work

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• The Cauchy problem for the Yang-Mills equations
• Solution globale d'une équation non linéaire sur une variété hyperbolique
• The Yang-Mills equations on the universal cosmos
• Singularity formation in a collisionless plasma could occur only at high velocities
• Solutions globales de systèmes quasi linéaires du second ordre. (Global solutions of second order quasilinear systems)
• Absence of shocks in an initially dilute collisionless plasma
• The Cauchy problem for coupled Yang-Mills and scalar fields in the temporal gauge
• The global existence of Yang-Mills-Higgs fields in 4-dimensional Minkowski space. I. Local existence and smoothness properties
• Existence, uniqueness, and local stability for the Einstein-Maxwell- Boltzmann system
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• Global weak solutions of Vlasov‐Maxwell systems
• Existence of global solutions of the Yang-Mills, Higgs and spinor field equations in $3+1$ dimensions

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