Asymptotic Bounds for Solutions to a System of Damped Integrodifferential Equations of Electromagnetic Theory.
Abstract
For the system of damped integrodifferential equations which govern the evolution of the electric induction field in a class of rigid holohedral isotropic dielectrics of the type introduced by Toupin and Rivlin, conditions on the memory functions are deduced which imply that the L2 norms of such induction fields are bounded away from zero even as the damping grows in an unbounded manner; explicit lower bounds for the L2 norms of the induction fields in such dielectrics are derived as t increases without limit. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 28, 1979
- Accession Number
- ADA070132
Entities
People
- Frederick Bloom
Organizations
- University of South Carolina