This book contains the proceedings ofthe meeting on "Applied Mathematics in the Aerospace Field," held in Erice, Sicily, Italy from September 3 to September 10, 1991. The occasion of the meeting was the 12th Course of the School of Mathematics "Guido Stampacchia," directed by Professor Franco Giannessi of the University of Pisa. The school is affiliated with the International Center for Scientific Culture "Ettore Majorana," which is directed by Professor Antonino Zichichi of the University of Bologna. The objective of the course was to give a perspective on the state-of the-art and research trends concerning the application of mathematics to aerospace science and engineering. The course was structured with invited lectures and seminars concerning fundamental aspects of differential equa tions, mathematical programming, optimal control, numerical methods, per turbation methods, and variational methods occurring in flight mechanics, astrodynamics, guidance, control, aircraft design, fluid mechanics, rarefied gas dynamics, and solid mechanics. The book includes 20 chapters by 23 contributors from the United States, Germany, and Italy and is intended to be an important reference work on the application of mathematics to the aerospace field. It reflects the belief of the course directors that strong interaction between mathematics and engineering is beneficial, indeed essential, to progresses in both areas.

Klappentext

Proceedings of a Meeting held in Erice, Italy, September 3-10, 1991

Zusammenfassung
Proceedings of a Meeting held in Erice, Italy, September 3-10, 1991

Inhalt
1: Fluid Mechanics.- 1. Slow Variations in Fluid Mechanics.- 2. Computer-Extended Series in Fluid Mechanics.- 3. Solving the Equations of Compressible Viscous Flow about Aerospace Configurations.- 4. Mathematical Problems in the Gas Dynamics of High-Altitude Flight.- 5. Toward a Unification of Potential and Viscous Aerodynamics: Boundary Integral Formulation.- 6. Numerical Solution of the Navier-Stokes Equations for Viscous Compressible Flows.- 2: Flight Mechanics and Control.- 7. Singular Perturbations in Flight Mechanics.- 8. Multi-Phase Trajectory Optimization Methods with Applications to Hypersonic Vehicles.- 9. Offline and Online Computation of Optimal Trajectories in the Aerospace Field.- 10. Optimal Wind Energy Extraction for Dynamic Soaring.- 11. Introduction to Optimal Trajectories for Aeroassisted Orbital Transfer.- 3: Dynamics and Structures.- 12. Lyapunov Stability Theory Based Control of Uncertain Dynamical Systems.- 13. Stability Problems in Space Flight Mechanics.- 14. Numerical Approximations in Analytical Dynamics.- 15. Effects of Plasticity of Metallic Materials on Fatigue and Fracture Mechanics.- 16. Mathematical Models and Their Use in Engineering.- 4: Mathematical Techniques.- 17. Recent Mathematical Methods for Engineering System Design, Part 1: Overcoming Bellman's Curse of Dimensionality in Large Optimization Problems.- 18. Recent Mathematical Methods for Engineering System Design, Part 2: System Approach in Engineering Optimization.- 19. Numerical Treatment of Quasi-Singular Integrals in Dynamic Response Problems.- 20. Symbolic Calculus Computations in the Aerospace Field.