Accession Number : ADA113023

Title :   Global Nonexistence of Smooth Electric Induction Fields in Nonlinear Dielectrics. I. Infinite Cylindrical Dielectrics.

Descriptive Note : Technical rept.,

Corporate Author : MARYLAND UNIV COLLEGE PARK DEPT OF MATHEMATICS

Personal Author(s) : Bloom,Frederick

PDF Url : ADA113023

Report Date : 29 Jan 1982

Pagination or Media Count : 47

Abstract : Coupled nonlinear wave equations are derived for the evolution of the components of the electric induction field equivalent D in a class of rigid nonlinear dielectrics governed by the nonlinear constitutive relation equivalent E = Lambda (d) equivalent D, where equivalent E is the electric field and Lambda 0 is a scalar-valued vector function. For the special case of an infinite one-dimensional dielectric rod, embedded in a perfect conductor, it is shown that, under relatively mild conditions on Lambda, solutions of the corresponding initial-boundary value problem for the electric induction field cannot exist globally in time in L2 sense if it is assumed that the electric field in the rod is perpendicular to the axis of the rod and varies as the coordinate along that axis. (Author)

Descriptors :   *Dielectrics, *Electromagnetic induction, Wave equations, Maxwells equations, Boundary value problems, Electromagnetic fields, Nonlinear differential equations, Global

Subject Categories : Numerical Mathematics
      Electricity and Magnetism

Distribution Statement : APPROVED FOR PUBLIC RELEASE