CINECA IRIS Institutional Research Information System
IRIS è la piattaforma adottata dall’Università degli Studi di Udine per gestire l’archivio aperto dei prodotti della ricerca. L’archivio contiene articoli, contributi in volume, monografie, interventi pubblicati in atti di convegno, Tesi di dottorato e altri materiali.
EnglishWe consider the weak solution of the Laplace equation in a planar domain with a straight crack, prescribing a homogeneous Neumann condition on the crack and a nonhomogeneous Dirichlet condition on the rest of the boundary. For every k we express the k-th derivative of the energy with respect to the crack length in terms of a finite number of coefficients of the asymptotic expansion of the solution near the crack tip and of a finite number of other parameters, which only depend on the shape of the domain. © 2014, Springer Basel.
Laplace equation in a domain with a rectilinear crack: higher order derivatives of the energy with respect to the crack length / Dal Maso, G.; Orlando, G.; Toader, R.. - In: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. - ISSN 1021-9722. - STAMPA. - 22:3(2015), pp. 449-476.
| Titolo: | Laplace equation in a domain with a rectilinear crack: higher order derivatives of the energy with respect to the crack length | |
| Autori: | ||
| Data di pubblicazione: | 2015 | |
| Rivista: | ||
| Citazione: | Laplace equation in a domain with a rectilinear crack: higher order derivatives of the energy with respect to the crack length / Dal Maso, G.; Orlando, G.; Toader, R.. - In: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. - ISSN 1021-9722. - STAMPA. - 22:3(2015), pp. 449-476. | |
| Abstract: | We consider the weak solution of the Laplace equation in a planar domain with a straight crack, prescribing a homogeneous Neumann condition on the crack and a nonhomogeneous Dirichlet condition on the rest of the boundary. For every k we express the k-th derivative of the energy with respect to the crack length in terms of a finite number of coefficients of the asymptotic expansion of the solution near the crack tip and of a finite number of other parameters, which only depend on the shape of the domain. © 2014, Springer Basel. | |
| Handle: | http://hdl.handle.net/11390/1095081 | |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
File in questo prodotto:
http://hdl.handle.net/11390/1095081
Copyright © 2021