13 citations · 39 across the 7 of their papers we have counts for
7 papers
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…
Two-dimensional body of maximum mean resistance
Paulo D. F. Gouveia, Alexander Plakhov, Delfim F. M. Torres
A two-dimensional body, exhibiting a slight rotational movement, moves in a rarefied medium of particles which collide with it in a perfectly elastic way. In previously realized in…
Computing ODE Symmetries as Abnormal Variational Symmetries
Paulo D. F. Gouveia, Delfim F. M. Torres
We give a new computational method to obtain symmetries of ordinary differential equations. The proposed approach appears as an extension of a recent algorithm to compute variation…
Spinning rough disk moving in a rarefied medium
Alexander Plakhov, Tatiana Tchemisova
A spinning rough disk moves through a rarefied medium on the plane. The roughness is formed by small cavities on the disk boundary. The medium is so rare that mutual interaction of…
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…
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…