We address Newton-type problems of minimal resistance from an optimal control perspective. It is proven that for Newton-type problems the Pontryagin maximum principle is a necessary and sufficient condition. Solutions are then computed for concrete situations, including the new case when the flux of particles is non-parallel

Plakhov, A.Yu.

Torres, D.F.M.

English

Repositório Institucional da Universidade de Aveiro

300 years of optimal control: from the brachystochrone to the maximum principle,

A symmetry problem in the calculus of variations,

AND KAWOHL B., A paper of Legendre revisited,

Exact solutions of the one-dimensional Monge-Kantorovich problem,

Functions and domains having minimal resistance under a single-impact assumption,

Lectures on the calculus of variations and optimal control

Minimization sous contraintes de convexit´ e ou globales. Applications au probl` eme de r´ esistance minimale de Newton, M´ emoire d'habilitation  a diriger des recherches,

Minimum problems over sets of concave functions and related questions,

Newton’s aerodynamic problem in the presence of friction,

Newton’s aerodynamical problem,

Newton’s problem of minimal resistance for bodies containing a half-space,

Newton’s problem of minimal resistance in the class of bodies with prescribed volume,

Newton’s problem of the body of minimal aerodynamic resistance,

Newton’s problem of the body of minimal mean resistance,

Newton’s problem of the body of minimal resistance in the class of convex developable functions,

Newton’s problem of the body of minimal resistance under a single-impact assumption,

Newton’sproblem ofthe bodyofleast resistance with alimited numberof collisions.

On Newton’s problem of minimal resistance,

Optimal control, Consultants Bureau,

Optimal shapes and masses, and optimal transportation problems, in: Optimal transportation and applications

Optimization—theory and applications,

Relaxed optimal control problems and applications to shape optimization, in: Nonlinear Analysis,

Shape optimization problems over classes of convex domains,

The mathematical theory of optimal processes,

Two-dimensional problems of minimal resistance in a medium of positive temperature, in:

Variational calculus and optimal control,

Optimal control of Newton-type problems of minimal resistance

Optimal control of Newton-type problems of minimal resistance

Abstract

Similar works

Full text

Available Versions

Repositório Institucional da Universidade de Aveiro