Hyperbolicity of the nonlinear models of Maxwell's equations
From MaRDI portal
Publication:1884718
DOI10.1007/s00205-003-0303-4zbMath1065.78005OpenAlexW2164687447MaRDI QIDQ1884718
Publication date: 5 November 2004
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-003-0303-4
Related Items (25)
Multidimensional Conservation Laws: Overview, Problems, and Perspective ⋮ Some uniqueness results for stationary solutions to the Maxwell-Born-Infeld field equations and their physical consequences ⋮ Equilibrium measures and equilibrium potentials in the Born-Infeld model ⋮ Symmetry analysis and some new exact solutions of Born–Infeld equation ⋮ About the Young measures associated with Y. Brenier's ABI model ⋮ A symmetrizable extension of polyconvex thermoelasticity and applications to zero-viscosity limits and weak-strong uniqueness ⋮ TWO LIMIT CASES OF BORN–INFELD EQUATIONS ⋮ Geometric origin and some properties of the arctangential heat equation ⋮ The incompleteness of the Born-Infeld model for non-linear multi-d Maxwell’s equations ⋮ A NEW LAGRANGIAN FORMULATION OF IDEAL MAGNETOHYDRODYNAMICS ⋮ The generalized nonlinear initial-boundary Riemann problem for linearly degenerate quasilinear hyperbolic systems of conservation laws ⋮ Long-time behavior and stability of entropy solutions for linearly degenerate hyperbolic systems of rich type ⋮ Structural properties of stress relaxation and convergence from viscoelasticity to polyconvex elastodynamics ⋮ Global structure stability of Riemann solutions for linearly degenerate hyperbolic conservation laws under small BV perturbations of the initial data ⋮ A note on the asymptotic behavior of global classical solutions of diagonalizable quasilinear hyperbolic systems ⋮ On the uniqueness of solutions to hyperbolic systems of conservation laws ⋮ Non-convex entropies for conservation laws with involutions ⋮ $\mathcal{A}$-Quasiconvexity, Gårding Inequalities, and Applications in PDE Constrained Problems in Dynamics and Statics ⋮ Convergent perturbative power series solution of the stationary Maxwell–Born–Infeld field equations with regular sources ⋮ Low Dimensional Born-Infeld Equations Coupled with a Collisionless Matter Model ⋮ Unnamed Item ⋮ Derivation of particle, string, and membrane motions from the Born–Infeld electromagnetism ⋮ On the hyperbolicity of Maxwell's equations with a local constitutive law ⋮ Well-posedness and long-time behavior of Lipschitz solutions to generalized extremal surface equations ⋮ The nonlinear stability of the trivial solution to the Maxwell-Born-Infeld system
This page was built for publication: Hyperbolicity of the nonlinear models of Maxwell's equations
