Jump conditions for fields that have infinite, integrable singularities at an interface

DOI10.1063/1.525076zbMath0466.35002OpenAlexW2009143187MaRDI QIDQ3918450

R. C. Costen

Publication date: 1981

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.525076

zbMATH Keywords

kinematicssingularitiesinterfaceshock wavesfluid dynamicsvortex sheetsjump conditionfirst order partial differential equationssurface densitiessurface densityMaxwell's electrodynamic equations

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Analyticity in context of PDEs (35A20) Linear first-order PDEs (35F05) Electromagnetic theory (general) (78A25) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

Higher order fundamental forms of a surface and their applications to wave propagation and generalized derivatives, Distributional analysis for discontinuous fields, Non-classical derivation of the transport theorems for wave fronts, Classical, linear, electromagnetic impedance theory with infinite integrable discontinuities, Dirac tensor distributions for moving submanifolds of R n