The analytical solution to Newton's aerodynamic problem in the class of bodies with vertical plane of symmetry and developable side boundary

2019/05/06 by Lokutsievskiy, L. V., Zelikin, M. I.
#Dynamical Systems (math.DS) #FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.1905.02028

Abstract

The method of Hessian measures is used to find the differential equation that defines the optimal shape of nonrotationally symmetric bodies with minimal resistance moving in a rare medium. The synthesis of optimal solutions is described. A theorem on the optimality of the obtained solutions is proved.

Related

• The problem of the body of revolution of minimal resistance
• The problem of minimal resistance, old and new
• Newton's aerodynamic problem in media of chaotically moving particles
• Optimal Roughening of Convex Bodies
• Problems of maximal mean resistance on the plane