Viscosity solutions for the one-body Liouville equation in Yang-Mills charged Bianchi models with non-zero mass

DOI10.1007/s11005-015-0777-7zbMath1330.83010OpenAlexW1055646686MaRDI QIDQ494007

Remy Magloire Etoua, Norbert Noutchegueme, Raoul Domingo Ayissi, Hugues Paulin Mbeutcha Tchagna

Publication date: 28 August 2015

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

Full work available at URL: https://doi.org/10.1007/s11005-015-0777-7

zbMATH Keywords

viscosity solutionpartial differential equationYang-Mills theoryexistence and uniquenesscharged Bianchi modelsone-body Liouville equation

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Yang-Mills and other gauge theories in quantum field theory (81T13) PDEs in connection with quantum mechanics (35Q40) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Exact solutions to problems in general relativity and gravitational theory (83C15) Einstein-Maxwell equations (83C22) Viscosity solutions to PDEs (35D40) Vlasov equations (35Q83) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs in connection with statistical mechanics (35Q82)

Related Items (3)

Regular Solutions for the relativistic Boltzmann equation in Yang-Mills field ⋮ The coupled Yang-Mills-Boltzmann system in Bianchi type I space-time ⋮ Viscosity solutions for the Vlasov equation in the presence of a Yang-Mills field in temporal gauge

Cites Work

• Local existence and uniqueness theory of the Vlasov-Maxwell system
• Remarks on the existence and uniqueness of unbounded viscosity solutions of Hamilton-Jacobi equations
• Viscosity solutions of Hamilton-Jacobi equations
• Yang-Mills-Vlasov system for particles with nonabelian gauge charge density on curved space-time
• A density approach to Hamilton-Jacobi equations with \(t\)-measurable Hamiltonians
• Lower-bound gradient estimates for first-order Hamilton-Jacobi equations and applications to the regularity of propagating fronts
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