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Title: Optimal roughening of convex bodies
Author: Plakhov, Alexander
Keywords: Billiards
Shape optimization
Problems of minimal resistance
Newtonian aerodynamics
Rough surface
Issue Date: 2012
Publisher: University of Toronto Press
Abstract: A body moves in a rarefied medium composed of point particles at rest. The particles make elastic reflections when colliding with the body surface, and do not interact with each other. We consider a generalization of Newton’s minimal resistance problem: given two bounded convex bodies C1 and C2 such that C1 ⊂ C2 ⊂ R3 and ∂C1 ∩ ∂C2 = ∅, minimize the resistance in the class of connected bodies B such that C1 ⊂ B ⊂ C2. We prove that the infimum of resistance is zero; that is, there exist ”almost perfectly streamlined” bodies.
Peer review: yes
DOI: 10.4153/CJM-2011-070-9
ISSN: 0008-414X
Appears in Collections:CIDMA - Artigos

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