Some Mathematical Problems in Continuum Mechanics
Abstract
Efforts were devoted to the mathematical analysis of problems arising in continuum mechanics. Most of the problems considered were dynamic and involved nonlinear partial differential equations of integrodifferential equations. Specific areas of study include viscoelasticity, thermoelasticity. Specific work includes: Construction of models on global existence and asymptotic stability for several associated initial value problems; nonlinear thermoelasticity when heat conduction is governed by Cattaneo's relation rather than Fourier's law; and results concerning local existence in three spatial dimensions and formation of singularities in one spatial dimension in nonlinear thermoelasticity.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 29, 1988
- Accession Number
- ADA207923
Entities
People
- William J. Hrusa
Organizations
- Carnegie Mellon University