Buch, Englisch, 300 Seiten, Print PDF, Format (B × H): 161 mm x 240 mm, Gewicht: 617 g
Buch, Englisch, 300 Seiten, Print PDF, Format (B × H): 161 mm x 240 mm, Gewicht: 617 g
ISBN: 978-0-19-851495-4
Verlag: OUP Oxford
The asymptotic analysis of boundary value problems in parameter-dependent domains is a rapidly developing field of research in the theory of partial differential equations, with important applications in electrostatics, elasticity, hydrodynamics and fracture mechanics. Building on the work of Ciarlet and Destuynder, this book provides a systematic coverage of these methods in multi-structures, i.e. domains which are dependent on a small parameter e in such a way that the limit region consists of subsets of different space dimensions. An undergraduate knowledge of partial differential equations and functional analysis is assumed.
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
- Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
Weitere Infos & Material
- 1: Introduction to compound asymptotic expansions
- 2: A boundary value problem for the Laplacian in a multi-structure
- 3: Auxiliary facts from mathematical elasticity
- 4: Elastic multi-structure
- 5: Non-degenerate elastic multi-structure
- 6: Spectral analysis for 3D-1D multi-structures
- Bibliographical remarks
- Bibliography
- Index
