Optimal control problem and viscosity solutions for the Vlasov equation in Yang-Mills charged Bianchi models
DOI10.1515/apam-2017-0001zbMath1372.83078OpenAlexW2585103721MaRDI QIDQ520900
Raoul Domingo Ayissi, Remy Magloire Etoua
Publication date: 6 April 2017
Published in: Advances in Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/apam-2017-0001
optimal controlviscosity solutionpartial differential equationexistence and uniquenessVlasov equationBianchi space-time models
Relativistic cosmology (83F05) Yang-Mills and other gauge theories in quantum field theory (81T13) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Hamilton-Jacobi equations in mechanics (70H20) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)
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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
- Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations
- Lower-bound gradient estimates for first-order Hamilton-Jacobi equations and applications to the regularity of propagating fronts
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