The shape of a sausage: a challenging problem in the calculus of variations

• Autores: Michael A.B. Deakin
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 41, Nº. 1, 2010, págs. 119-126
• Idioma: inglés
• DOI: 10.1080/00207390903189211
• Texto completo no disponible (Saber más ...)
• Resumen

  • Many familiar household objects (such as sausages) involve the maximization of a volume under geometric constraints. A flexible but inextensible membrane bounds a volume which is to be filled to capacity. In the case of the sausage, a full analytic solution is here provided. Other related but more difficult problems seem to demand approximate methods of solution.