Asymptotic Bounds for Solutions to a System of Damped Integrodifferential Equations of Electromagnetic Theory.
SOUTH CAROLINA UNIV COLUMBIA DEPT OF MATHEMATICS COMPUTER SCIENCE AND STATISTICS
Pagination or Media Count:
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
- Numerical Mathematics
- Electricity and Magnetism