Local in time existence for the complete Maxwell equations with monotone characteristic in a bounded domain

DOI10.1007/BF01765154zbMath0498.35077OpenAlexW2054884159MaRDI QIDQ1171221

Albert J. Milani

Publication date: 1982

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01765154

zbMATH Keywords

existenceuniquenessbounded domainquasilinear hyperbolic systemslocal regular solutioncomplete Maxwell equationsmonotone characteristic

Mathematics Subject Classification ID

Related Items (7)

Periodic solutions to Maxwell equations in nonlinear media ⋮ Uniform existence of the 1-D full equations for a thermo-radiative electromagnetic fluid ⋮ Uniform well-posedness and singular limits of the isentropic Navier-Stokes-Maxwell system in a bounded domain ⋮ Uniform existence of the 1-d complete equations for an electromagnetic fluid ⋮ Analysis of a coupled spin drift-diffusion Maxwell-Landau-Lifshitz system ⋮ The quasi-stationary Maxwell equations as singular limit of the complete equations: The quasi-linear case ⋮ Time periodic smooth solutions of hyperbolic quasi-linear equations with dissipation term and their approximation by parabolic equations

Cites Work

• Finite element approximation of the Navier-Stokes equations
• The Cauchy problem for quasi-linear symmetric hyperbolic systems
• Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity
• Global existence and asymptotics of the solutions of the second-order quasilinear hyperbolic equations with the first-order dissipation
• On the quasi-stationary Maxwell equations with monotone characteristics in a multiply connected domain
• Differential forms on riemannian manifolds
• Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
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