Abstract
Certain hydromechanical quantities associated with a floating or a totally immersed body depend explicitly on the body’s geometry. We discuss some aspects of the mathematical description of such a physical system and consider the problem of choosing the shape of the body so that one such quantity is optimized. Certain families of solutions of the original boundary value problem are shown to be complete and a penalization method for treating the optimization problem is proposed.
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Angell, T.S., Kleinman, R.E. (1987). On a Domain Optimization Problem in Hydromechanics. In: Hoffmann, KH., Krabs, W. (eds) Optimal Control of Partial Differential Equations II: Theory and Applications. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 78. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7627-8_1
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DOI: https://doi.org/10.1007/978-3-0348-7627-8_1
Publisher Name: Birkhäuser, Basel
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