Variational Analysis and Aerospace Engineering Mathematical Challenges for the Aerospace of the Future

This book presents papers surrounding the extensive discussions that took place from the ‘Variational Analysis and Aerospace Engineering’ workshop held at the Ettore Majorana Foundation and Centre for Scientific Culture in 2015. Contributions to this volume  focus on advanced mathematical methods in aerospace engineering  and industrial engineering such as computational fluid dynamics methods, optimization methods in aerodynamics, optimum controls, dynamic systems, the theory of structures, space missions, flight mechanics, control theory, algebraic geometry for CAD applications, and variational methods and applications. Advanced graduate students, researchers, and professionals in mathematics and engineering will find this volume useful as it illustrates current collaborative research projects in applied mathematics and aerospace engineering.

Molding direction constraints in structural optimization via a level-set method (Gr´egoire Allaire, Franc¸ois Jouve and Georgios Michailidis).- Adaptive Control for Weakly Minimum Phase Linear Infinite-Dimensional Systems in Hilbert Space Using a Zero Filter (Mark J. Balas, Susan A. Frost).- Aeroelasticity of the PrandtlPlane (Rauno Cavallaro, Rocco Bombardieri, Simone Silvani, Luciano Demasi and Giovanni Bernardini).- HyPSim: a simulation tool for hybrid aircraft performance analysis (Vittorio Cipolla, Fabrizio Oliviero).- Evolutionary and Heuristic Methods Applied to Problems in Optimal Control (Bruce A. Conway).- Thin-walled beams: asymptotic models and applications (Cesare Davini, Lorenzo Freddi and Rpberto Paroni).- The Variational Approach to Fracture (Gianpietro Del Piero).- Minimum Induced Drag Theorems for Nonplanar Systems and Closed Wings (Luciano Demasi, Giovanni Monegato, and Rauno Cavallaro).- On aerodynamic design with a POD surrogate model (Valentina Dolci, Renzo Arina).- Trust Region Filter-SQP Method for Multi-Fidelity Wing Aerostructural Optimization (Ali Elham and Michel J.L. van Tooren).- Tensegrity rings for deployable space antennas (Pier Luigi Ganga, Andrea Micheletti, Paolo Podio-Guidugli, Lucio Scolamiero, Gunnar Tibert, and Valfredo Zolesi).- Data analytic UQ cascade (Bijan Mohammadi).- Aerodynamic design of “box blade” and “non–planar” wind turbines (Luigi Molea, Emanuele Di Vitantonio, Aldo Frediani).- Numerical Study of a Monolithic Fluid-Structure Formulation (Olivier Pironneau).- A New, General Neighboring Optimal Guidance for Aerospace Vehicles (Mauro Pontani).- State-of-the-art of optimum shape design methods for industrial applications and beyond (Bruno Stoufflet).- Variational Analysis and Euler Equation of the Optimum Propeller Problem (Francesco Torrigiani, Aldo Frediani, Antonio Dipace).