The problem of minimal resistance for functions and domains

Here we solve the problem posed by Comte and Lachand-Robert in [SIAM J. Math. Anal., 34 (2002), pp. 101–120]. Take a bounded domain Ω ⊂ R2 and a piecewise smooth nonpositive function u : ¯Ω → R vanishing on ∂Ω. Consider a flow of point particles falling vertically down and reflected elastically from...

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Detalhes bibliográficos
Autor principal: Plakhov, Alexander (author)
Formato: article
Idioma:eng
Publicado em: 2016
Assuntos:
Texto completo:http://hdl.handle.net/10773/15145
País:Portugal
Oai:oai:ria.ua.pt:10773/15145