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math.OC2009
On the two-dimensional rotational body of maximal Newtonian resistance
Paulo D. F. Gouveia, Alexander Plakhov, Delfim F. M. Torres
We investigate, by means of computer simulations, shapes of nonconvex bodies that maximize resistance to their motion through a rarefied medium, considering that bodies are moving…
math.OC2007
Problems of maximal mean resistance on the plane
Alexander Plakhov, Paulo D. F. Gouveia
A two-dimensional body moves through a rarefied medium; the collisions of the medium particles with the body are absolutely elastic. The body performs both translational and slow r…
math.OC2006★ 13 cited
Symbolic Computation of Variational Symmetries in Optimal Control
Paulo D. F. Gouveia, Delfim F. M. Torres, Eugenio A. M. Rocha
We use a computer algebra system to compute, in an efficient way, optimal control variational symmetries up to a gauge term. The symmetries are then used to obtain families of Noet…