Problems of optimal transportation on the circle and their mechanical applications

DOI10.1016/j.jde.2016.10.049zbMath1365.49045OpenAlexW2554962466MaRDI QIDQ729953

Alexander Plakhov, Tatiana V. Tchemisova

Publication date: 22 December 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2016.10.049

zbMATH Keywords

billiardsshape optimizationMonge-Kantorovich problemoptimal mass transportationproblems of minimal resistance

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Optimization of shapes other than minimal surfaces (49Q10) Dynamical systems in classical and celestial mechanics (37N05) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items (5)

A solution to Newton's least resistance problem is uniquely defined by its singular set ⋮ On the structure of singular points of a solution to Newton's least resistance problem ⋮ Rotating rod and ball ⋮ Billiard in a rotating half-plane ⋮ Method of nose stretching in Newton’s problem of minimal resistance

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