In this paper we follow the approach in Maddalena et al. (Interfaces and1 Free Boundaries 5, 391–415, 2003) to the study of the ramified structures and we identify some geometrical properties enjoyed by optimal irrigation patterns. These properties are “elementary” in the sense that they are not concerned with the regularity at the ending points of such structures, where the presumable selfsimilarity properties should take place. This preliminary study already finds an application in G. Devillanova and S. Solimini (Math. J. Univ. Padua, to appear), where it is used in order to discuss the irrigability of a given measure.
Elementary properties of optimal irrigation patterns / Devillanova, Giuseppe; Solimini, Sergio Fausto. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - 28:3(2007), pp. 317-349. [10.1007/s00526-006-0046-9]
Elementary properties of optimal irrigation patterns
DEVILLANOVA, Giuseppe;SOLIMINI, Sergio Fausto
2007-01-01
Abstract
In this paper we follow the approach in Maddalena et al. (Interfaces and1 Free Boundaries 5, 391–415, 2003) to the study of the ramified structures and we identify some geometrical properties enjoyed by optimal irrigation patterns. These properties are “elementary” in the sense that they are not concerned with the regularity at the ending points of such structures, where the presumable selfsimilarity properties should take place. This preliminary study already finds an application in G. Devillanova and S. Solimini (Math. J. Univ. Padua, to appear), where it is used in order to discuss the irrigability of a given measure.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
