Extends classical Zermelo navigation to general compact convex velocity sets in the plane, proving a partition into regular regimes satisfying a generalized navigation equation and singular regimes, plus a condition to exclude the latter, with applications to affine currents and non-convex cases.
Part II: Calculus of variations, Holden-Day, Inc., San Francisco, Calif.-London-Amsterdam, 1967, Translated from the German by Robert B
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On Zermelo's planar navigation problem for convex bodies, and implications for non-convex optimal routing
Extends classical Zermelo navigation to general compact convex velocity sets in the plane, proving a partition into regular regimes satisfying a generalized navigation equation and singular regimes, plus a condition to exclude the latter, with applications to affine currents and non-convex cases.