A Zermelo navigation problem with a vortex singularity

DOI10.1051/cocv/2020058zbMath1467.49013arXiv1911.01109OpenAlexW3081510378MaRDI QIDQ4999587

Olivier Cots, B. Wembe, Bernard Bonnard

Publication date: 7 July 2021

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.01109

zbMATH Keywords

geometric optimal controlZermelo navigation problemconjugate and cut lociClairaut-Randers metric with polar singularityHelmholtz-Kirchhoff \(N\) vortices model

Mathematics Subject Classification ID

Variational methods applied to problems in fluid mechanics (76M30) Optimality conditions for problems involving ordinary differential equations (49K15) Variational principles of physics (49S05)

Related Items (4)

Abnormal geodesics in 2D-Zermelo navigation problems in the case of revolution and the Fan shape of the small time balls ⋮ An account on links between Finsler and Lorentz geometries for Riemannian geometers ⋮ Zermelo navigation problems on surfaces of revolution and geometric optimal control ⋮ Classification of time-optimal paths under an external force based on Jacobi stability in Finsler space

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