Hessian measures in the aerodynamic Newton problem

DOI10.1007/s10883-018-9395-xzbMath1472.76077arXiv1709.00241OpenAlexW2751954439MaRDI QIDQ721997

L. V. Lokutsievskiy, M. I. Zelikin

Publication date: 20 July 2018

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.00241

zbMATH Keywords

Legendre transformbi-continuityaerodynamic Newton problemHessian measure

Mathematics Subject Classification ID

Variational methods applied to problems in fluid mechanics (76M30) Flow control and optimization for compressible fluids and gas dynamics (76N25)

Related Items (3)

The analytical solution of Newton’s aerodynamic problem in the class of bodies with vertical plane of symmetry and developable side boundary ⋮ A note on Newton's problem of minimal resistance for convex bodies ⋮ Non-optimality of conical parts for Newton's problem of minimal resistance in the class of convex bodies and the limiting case of infinite height

Cites Work

• Unnamed Item
• Unnamed Item
• The numerical solution of Newton's problem of least resistance
• On the relations between two types of convergence for convex functions
• Une famille de topologies sur l'ensemble des fonctions convexes pour lesquelles la polarite est bicontinue
• Hessian measures of semi-convex functions and applications to support measures of convex bodies
• On the continuity of the Young-Fenchel transform
• Newton's Problem of the Body of Minimal Resistance in the Class of Convex Developable Functions
• Bodies of zero resistance and bodies invisible in one direction
• A Steiner type formula for convex functions
• Minimum Problems over Sets of Concave Functions and Related Questions
• Convex Bodies The Brunn-MinkowskiTheory
• A symmetry problem in the calculus of variations
• An example of non-convex minimization and an application to Newton's problem of the body of least resistance

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