Modern Differential Equation Techniques for Problems in Aerodynamics and Electromagnetics.
Abstract
One report summarizes the research results obtained under Grant AFOSR-68-1403 during the period 1 September 1967 through 31 August 1971, from the initiation to the expiration of this Grant. Results were obtained in the major areas of critical point theory, the theory of manifolds of sections of fiber bundles, the weak topology of nonlinear analysis, and in fluid mechanics. In turn, these concern the solutions of nonlinear problems by the critical point method, and the method of steepest descent, the differential topological and differential geometric structure of infinite dimensional manifolds of sections of fiber bundles, the theory of inrinsically bounded sets and the theory of manifolds with a globally defined weak-bounded topology, weak manifolds, and a physically-realistic model for fluid mechanics, allowing compressibility and taking thermodynamic variables and heat conduction into account. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 09, 1971
- Accession Number
- AD0732315
Entities
People
- Richard S. Palais
Organizations
- Brandeis University