Polygonal Interface Problems
(Sprache: Englisch)
The aim of this volume is to extend some of the classical results of Kondratiev, Maz'ya-Plamenevskii, Grisvard and Dauge, about the singular behaviour of the weak solution of a boundary value problem in a nonsmooth domain to the setting of boundary value...
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Klappentext zu „Polygonal Interface Problems “
The aim of this volume is to extend some of the classical results of Kondratiev, Maz'ya-Plamenevskii, Grisvard and Dauge, about the singular behaviour of the weak solution of a boundary value problem in a nonsmooth domain to the setting of boundary value problems on a two-dimensional polygonal topological network (roughly speaking it is a network such that each face is a polygon). Some mechanical phenomena were recently described by boundary value problems on such networks: let us quote vibrating folded membranes, composite plates, folded plates, junctions in elastic multi-structures. In view to numerical applications, the singularities, as well as their coefficients (the so-called stress intensity factors) are described explicitly. The obtained decomposition into regular and singular parts also leads to the Fredholm property of the associated operator between appropriate Sobolev spaces.
Inhaltsverzeichnis zu „Polygonal Interface Problems “
Contents: Sobolev spaces - Networks - Boundary value problems - Interface (transmission) problems - Fredholm operators - Singularities - Coefficients of the singularities - Differential equatious in Hilbert spaces.
Bibliographische Angaben
- Autor: Serge Nicaise
- 1993, Neuausg., 250 Seiten, Maße: 14,8 x 21 cm, Kartoniert (TB), Englisch
- Verlag: Peter Lang
- ISBN-10: 3631463804
- ISBN-13: 9783631463802
- Erscheinungsdatum: 01.08.1993
Sprache:
Englisch
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