Newton’s aerodynamic for non-convex bodies

Edoardo Mainini (1) , Manuel Monteverde (2) , Edouard Oudet (3) , Danilo Percivale (4)

1 Dipartimento di matematica F. Casorati
2 DIME - Dipartimento di Ingegneria Meccanica, Energetica, Gestionale e dei Trasporti
3 CVGI - Calcul des Variations, Géométrie, Image
4 SISSA / ISAS - Scuola Internazionale Superiore di Studi Avanzati / International School for Advanced Studies

We characterize the solution to the Newton minimal resistance problem in a specific class of hollow profiles, satisfying a q-concavity condition. We treat two-dimensional bodies and radially symmetric three-dimensional bodies.

Domaines: Optimisation et contrôle [math.OC]

Edoardo Mainini, Manuel Monteverde, Edouard Oudet, Danilo Percivale. Newton’s aerodynamic for non-convex bodies. Rendiconti Lincei. Matematica e Applicazioni, 2017, 28 (4), pp.885-896. ⟨10.4171/RLM/790⟩. ⟨hal-02009453⟩