Applied Mathematics in Aerospace Science and Engineering

1. Front Matter

   Pages i-xi

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2. Fluid Mechanics

   1. Front Matter

      Pages 1-1

      PDF

   2. Slow Variations in Fluid Mechanics

      • M. Van Dyke

      Pages 3-12

   3. Computer-Extended Series in Fluid Mechanics

      • M. Van Dyke

      Pages 13-24

   4. Solving the Equations of Compressible Viscous Flow about Aerospace Configurations

      • R. W. MacCormack

      Pages 25-34

   5. Mathematical Problems in the Gas Dynamics of High-Altitude Flight

      • C. Cercignani

      Pages 35-47

   6. Toward a Unification of Potential and Viscous Aerodynamics: Boundary Integral Formulation

      • L. Morino

      Pages 49-79

   7. Numerical Solution of the Navier-Stokes Equations for Viscous Compressible Flows

      • C. Carlenzoli, A. Quarteroni, A. Valli

      Pages 81-111

3. Flight Mechanics and Control

   1. Front Matter

      Pages 113-113

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   2. Singular Perturbations in Flight Mechanics

      • A. J. Calise

      Pages 115-132

   3. Multi-Phase Trajectory Optimization Methods with Applications to Hypersonic Vehicles

      • C. Jänsch, K. Schnepper, K. H. Well

      Pages 133-164

   4. Offline and Online Computation of Optimal Trajectories in the Aerospace Field

      • H. J. Pesch

      Pages 165-220

   5. Optimal Wind Energy Extraction for Dynamic Soaring

      • G. Sachs

      Pages 221-237

   6. Introduction to Optimal Trajectories for Aeroassisted Orbital Transfer

      • A. Miele, B. S. Lee

      Pages 239-277

4. Dynamics and Structures

   1. Front Matter

      Pages 279-279

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   2. Lyapunov Stability Theory Based Control of Uncertain Dynamical Systems

      • G. Leitmann

      Pages 281-292

   3. Stability Problems in Space Flight Mechanics

      • P. Santini

      Pages 293-321

   4. Numerical Approximations in Analytical Dynamics

      • M. Borri

      Pages 323-361

   5. Effects of Plasticity of Metallic Materials on Fatigue and Fracture Mechanics

      • A. Frediani

      Pages 363-393

   6. Mathematical Models and Their Use in Engineering

      • E. Antona

      Pages 395-433

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.

• Metall
• design
• fluid mechanics
• mechanics
• optimization
• simulation

• Rice University, Houston, USA

  Angelo Miele

• University of Pisa, Pisa, Italy

  Attilio Salvetti

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