Nonexistence of smooth electromagnetic fields in nonlinear dielectrics. I. Infinite cylindrical dielectrics

DOI10.1016/0270-0255(85)90004-1zbMath0604.35056OpenAlexW2033129185MaRDI QIDQ3742013

Frederick Bloom

Publication date: 1985

Published in: Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0270-0255(85)90004-1

zbMATH Keywords

nonexistenceelectric fieldinitial value problemsnonlinear dielectricsdielectric rodssmooth electromagnetic fieldssolution of compact support

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Second-order nonlinear hyperbolic equations (35L70) Electromagnetic theory (general) (78A25) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items (3)

Nonexistence of smooth electromagnetic fields in nonlinear dielectrics: Shock development in a half-space ⋮ Almost global existence in the plane wave-nonlinear dielectric interaction problem ⋮ Systems of nonlinear hyperbolic equations associated with problems of classical electromagnetic theory

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