Delfim F. M. Torres, Alexander Yu. Plakhov
Published 2004-04-12Version 1
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.
Comments: Accepted for publication in the Rendiconti del Seminario Matematico dell'Universita e del Politecnico di Torino
Journal: Rend. Sem. Mat. Univ. Pol. Torino, Vol. 64 (2006) No.1, pp. 79--96
Two-Dimensional Problems of Minimal Resistance in a Medium of Positive Temperature
Pontryagin Maximum Principle for Control Systems on Infinite Dimensional Manifolds
Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives
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