A note on generalization of Zermelo navigation problem on Riemannian manifolds with strong perturbation-Reference-Cited by-同舟云学术

A note on generalization of Zermelo navigation problem on Riemannian manifolds with strong perturbation

Published:2017-12-20 Issue:3 Volume:25 Page:107-123
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Kopacz Piotr¹²

Affiliation:

1. Institute of Mathematics, Faculty of Mathematics and Computer Science, Jagiellonian University, ul. Prof. St. Łojasiewicza 6, 30-348 Kraków , Poland

2. Department of Navigation, Faculty of Navigation, Gdynia Maritime University, Al. Jana Pawła II 3, 81-345 Gdynia , Poland

Abstract

Abstract We generalize the Zermelo navigation on Riemannian manifolds (M; h), admitting a space dependence of a ship's speed 0 < |u(x)|h ≤ 1 in the presence of a perturbation W̃ determined by a strong (critical) velocity vector field satisfying |W̃ (x)|h = |u(x)|h, with application of Finsler metric of Kropina type.

Publisher

Walter de Gruyter GmbH

Reference25 articles.

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