Interim Scientific Report Grant AFOSR-81-0171, 15 May 1981-14 May 1982
Abstract
The work focused on and produced papers with the following titles: On a damped nonlinear evolution equation, Nonexistence of smooth electromagnetic fields in nonlinear dielectrics, I infinite cylindrical dielectrics, and Nonexistence of smooth electromagnetic fields in nonlinear dielectrics, II shock development in a half space. The focus was the damped nonlinear evolution equation w sub tt = sigma(w) sub xx - gamma w sub t, an equation which arises in several areas of applied mathematics and, in particular, in studies of shearing flows in a nonlinear viscoelastic fluid. A summary of results obtained on existence and nonexistence of solutions for initial-boundary value problems associated with this equation is given. Work continued with a study of shock formulation for intense plane electromagnetic waves propagating into infinite cylindrical dielectrics and nonlinear dielectric half-spaces. (jhd)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1984
- Accession Number
- ADA215082
Entities
People
- Frederick Bloom
Organizations
- University of South Carolina