A note on Newton's problem of minimal resistance for convex bodies

We consider the following problem: minimize the functional f (∇u(x)) dx in the class of concave functions u : D → [0, M], where D ⊂ R2 is a convex body and M > 0. If f (x) = 1/(1 + |x|^2) and D is a circle, the problem is called Newton’s problem of least resistance. It is known that the problem a...

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Bibliographic Details
Main Author: Plakhov, Alexander (author)
Format: article
Language:eng
Published: 2020
Subjects:
Online Access:http://hdl.handle.net/10773/29940
Country:Portugal
Oai:oai:ria.ua.pt:10773/29940