Paulo D. F. Gouveia

  1. On the two-dimensional rotational body of maximal Newtonian resistance.

    Authors: Paulo D. F. Gouveia, Alexander Plakhov, Delfim F. M. Torres
    Subjects: Optimization and Control
    Abstract

    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 forward and at the same time slowly rotating. A
    two-dimensional geometric shape that confers to the body a resistance very
    close to the theoretical supremum value is obtained, improving previous
    results.

  2. On the two-dimensional rotational body of maximal Newtonian resistance.

    Authors: Paulo D. F. Gouveia, Alexander Plakhov, Delfim F. M. Torres
    Subjects: Optimization and Control
    Abstract

    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 forward and at the same time slowly rotating. A
    two-dimensional geometric shape that confers to the body a resistance very
    close to the theoretical supremum value is obtained, improving previous
    results.

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