Billiard scattering on rough sets: two-dimensional case

• Author(s): Plakhov, Alexander
• Date: 2009
• Persistent ID: http://hdl.handle.net/10773/6308
• Origin: RIA - Repositório Institucional da Universidade de Aveiro
• Subject(s): billiards; scattering on rough surfaces; Monge–Kantorovich optimal mass transportation; problems of minimal and maximal resistance; shape optimization
• Document Type: Article
• Language: English

Description

The notion of a rough two-dimensional (convex) body is introduced, and to each rough body there is assigned a measure on T3 describing billiard scattering on the body. The main result is characterization of the set of measures generated by rough bodies. This result can be used to solve various problems of least aerodynamical resistance.