Optimal Control of Newton-Type Problems of Minimal Resistance
arXiv:math/0404237
Abstract
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.
Accepted for publication in the Rendiconti del Seminario Matematico dell'Universita e del Politecnico di Torino