Nonexistence of smooth electromagnetic fields in nonlinear dielectrics: Shock development in a half-space

DOI10.1016/0022-247X(86)90056-9zbMath0603.35063OpenAlexW2080898935MaRDI QIDQ1082541

Frederick Bloom

Publication date: 1986

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(86)90056-9

zbMATH Keywords

unbounded domainelectromagnetic waveComputational aspectsshock conditionsnonlinear dielectric substance

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Hyperbolic conservation laws (35L65) Electromagnetic theory (general) (78A25) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (5)

Shock wave propagation and admissibility criteria in a nonlinear dielectric medium ⋮ Almost global existence in the plane wave-nonlinear dielectric interaction problem ⋮ The influence of nonlinear conduction on singularity formation in the intense plane-wave, nonlinear dielectric interaction problem ⋮ Unnamed Item ⋮ Systems of nonlinear hyperbolic equations associated with problems of classical electromagnetic theory

Cites Work

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• Formation and decay of electromagnetic shock waves
• Hyperbolic systems of conservation laws II
• Nonexistence of smooth electromagnetic fields in nonlinear dielectrics. I. Infinite cylindrical dielectrics
• Formation of singularities for wave equations including the nonlinear vibrating string
• Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations
• Exact solution of the reflexion problem in non-linear optics
• Time reversal and spatial inversion in magnetoelectric and nonlinear optical phenomena

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