Problems of Minimal Resistance and the Kakeya Problem

Here we solve the problem posed by Comte and Lachand-Robert in [8]. Take a bounded domain R2 and a piecewise smooth nonpositive function u : ¯ ! R vanishing on @ . Consider a flow of point particles falling vertically down and reflected elastically from the graph of u. It is assumed that each partic...

Full description

Bibliographic Details
Main Author: Plakhov, Alexander (author)
Format: article
Language:eng
Published: 2018
Subjects:
Online Access:http://hdl.handle.net/10773/21409
Country:Portugal
Oai:oai:ria.ua.pt:10773/21409