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Spinning rough disc moving in a rarefied medium
Plakhov, Alexander; Tchemisova, Tatiana; Gouveia, Paulo D.F.We study the Magnus effect: deflection of the trajectory of a spinning body moving in a gas. It is well known that in rarefied gases, the inverse Magnus effect takes place, which means that the transversal component of the force acting on the body has opposite signs in sparse and relatively dense gases. The existing works derive the inverse effect from nonelastic interaction of gas particles with the body. We p...
On the algorithm of determination of immobile indices for convex SIP problems
Kostyukova, Olga I.; Tchemisova, Tatiana V.; Yermalinskaya, Svetlana A.We consider convex Semi-Infinite Programming (SIP) problems with a continuum of constraints. For these problems we introduce new concepts of immobility orders and immobile indices. These concepts are objective and important characteristics of the feasible sets of the convex SIP problems since they make it possible to formulate optimality conditions for these problems in terms of optimality conditions for some N...
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