Zobrazeno 1 - 10
of 59
pro vyhledávání: '"Kopacz, Piotr"'
Autor:
Aldea, Nicoleta, Kopacz, Piotr
In this work, we pose and solve the time-optimal navigation problem considered on a slippery mountain slope modeled by a Riemannian manifold of an arbitrary dimension, under the action of a cross gravitational wind. The impact of both lateral and lon
Externí odkaz:
http://arxiv.org/abs/2407.04851
Autor:
Aldea, Nicoleta, Kopacz, Piotr
Publikováno v:
In Nonlinear Analysis: Real World Applications February 2025 81
Autor:
Aldea, Nicoleta, Kopacz, Piotr
Publikováno v:
Diff. Geom. Appl. 54 (2017), 325-343
We generalize and study the Zermelo navigation problem on Hermitian manifolds in the presence of a perturbation $W$ determined by a mild complex velocity vector field $||W(z)||_h<||u(z)||_h$, with application of complex Finsler metric of complex Rand
Externí odkaz:
http://arxiv.org/abs/1611.03742
Autor:
Kopacz, Piotr
Publikováno v:
An. Sti. U. Ovid. Co.-Mat. 25 (2017), 107-123
We generalize the Zermelo navigation problem and its solution on Riemannian manifolds $(M, h)$ admitting a space dependence of a ship's speed $0<|u(x)|_h\leq1$ in the presence of a perturbation $\tilde{W}$ determined by a strong velocity vector field
Externí odkaz:
http://arxiv.org/abs/1606.01036
Autor:
Kopacz, Piotr
Publikováno v:
Int. J. Geom. Methods Mod. Phys. 16 (2019)
We generalize the Zermelo navigation problem and its solution on Riemannian manifolds $(M, h)$ admitting a space dependence of a ship's own speed $|u(x)|_h\leq1$ in the presence of a perturbation $W$ determined by a mild velocity vector field $|W(x)|
Externí odkaz:
http://arxiv.org/abs/1604.06487
Autor:
Kopacz, Piotr
Publikováno v:
J. Geom. Mech. 10 (2018), 139-172
We consider the Zermelo navigation problem on the ellipsoid of revolution (spheroid) in the presence of a perturbation $W$ determined by a mild velocity vector field, $|W|<1$, with application of Finsler metric of Randers type in the context of the c
Externí odkaz:
http://arxiv.org/abs/1602.00167
Autor:
Aldea, Nicoleta, Kopacz, Piotr
Publikováno v:
In Journal of the Franklin Institute January 2021 358(1):776-799
Autor:
Kopacz, Piotr
Publikováno v:
Appl. Math. Model. 49 (2017), 531-553
We consider remodeling the planar search patterns, in the presence of the river-type perturbation represented by the weak vector field, basing on the time-optimal paths as Finslerian solutions to the Zermelo navigation problem via Randers metric.
Externí odkaz:
http://arxiv.org/abs/1511.07259
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.