Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/15147
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 |
URI: | http://hdl.handle.net/10773/15147 |
DOI: | 10.4153/CJM-2011-070-9 |
ISSN: | 0008-414X |
Appears in Collections: | CIDMA - Artigos |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
optimal roughening.pdf | 186.88 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.