The framework of this paper is given by the mixed boundary-value problem (GRAPHICS) where Omega is a plane domain bounded by a regular curve composed by two arcs Gamma(0) and Gamma(1). Assuming that Gamma(1)=epsilon and denoting by u[epsilon] the solution to this problem, we study some asymptotic expansions in terms of epsilon which are related to u[epsilon]. Some connections are presented among these expansions, on one hand, and the geometry of the domain Omega, on the other. In addition, a systematic way is found for computing at the boundary the Ghizzetti's integral that solves the problem.
Asymptotic expansions for membranes subjected to a lifting force in a part of their boundary / Amar, Micol; L. R., Berrone; Gianni, Roberto. - In: ASYMPTOTIC ANALYSIS. - ISSN 0921-7134. - 36:3-4(2003), pp. 319-343.
Asymptotic expansions for membranes subjected to a lifting force in a part of their boundary
AMAR, Micol;GIANNI, Roberto
2003
Abstract
The framework of this paper is given by the mixed boundary-value problem (GRAPHICS) where Omega is a plane domain bounded by a regular curve composed by two arcs Gamma(0) and Gamma(1). Assuming that Gamma(1)=epsilon and denoting by u[epsilon] the solution to this problem, we study some asymptotic expansions in terms of epsilon which are related to u[epsilon]. Some connections are presented among these expansions, on one hand, and the geometry of the domain Omega, on the other. In addition, a systematic way is found for computing at the boundary the Ghizzetti's integral that solves the problem.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
