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- W2003722650 abstract "We consider the wave-resistance problem for a ‘slender’ cylinder semisubmerged in a heavy fluid and moving at uniform, supercritical speed in the direction orthogonal to its generators. By a hodograph transformation, the problem (originally set up in a domain with a free boundary) reduces to the determination of a function, holomorphic in a fixed domain, satisfying some nonlinear boundary conditions depending on two (unknown) parameters. The problem in the hodograph plane is solved via the implicit function theorem; then, the two parameters are fixed by the requirement that the free boundary and the cylinder profile (which is assumed convex and reasonably smooth) form a single smooth (C1) streamline. Furthermore, the free boundary is monotone increasing downstream, monotone increasing upstream and lies under the level of calm water." @default.
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- W2003722650 date "2001-02-01" @default.
- W2003722650 modified "2023-10-17" @default.
- W2003722650 title "The forward motion of an unsymmetric surface-piercing cylinder: the solvability of a nonlinear problem in the supercritical case" @default.
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- W2003722650 doi "https://doi.org/10.1093/qjmam/54.1.85" @default.
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