Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains

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Éditeur :

Birkhäuser


Collection :

Operator Theory: Advances and Applications

Paru le : 2021-04-01

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Description

This book considers dynamic boundary value problems in domains with singularities of two types. The first type consists of "edges" of various dimensions on the boundary; in particular, polygons, cones, lenses, polyhedra are domains of this type. Singularities of the second type are "singularly perturbed edges" such as smoothed corners and edges and small holes. A domain with singularities of such type depends on a small parameter, whereas the boundary of the limit domain (as the parameter tends to zero) has usual edges, i.e. singularities of the first type. In the transition from the limit domain to the perturbed one, the boundary near a conical point or an edge becomes smooth, isolated singular points become small cavities, and so on.

In an "irregular" domain with such singularities, problems of elastodynamics, electrodynamics and some other dynamic problems are discussed. The purpose is to describe the asymptotics of solutions near singularities of the boundary. 

The presented results and methods have a wide range of applications in mathematical physics and engineering. The book is addressed to specialists in mathematical physics, partial differential equations, and asymptotic methods.
Pages
399 pages
Collection
Operator Theory: Advances and Applications
Parution
2021-04-01
Marque
Birkhäuser
EAN papier
9783030653712
EAN PDF
9783030653729

Informations sur l'ebook
Nombre pages copiables
3
Nombre pages imprimables
39
Taille du fichier
5642 Ko
Prix
116,04 €
EAN EPUB
9783030653729

Informations sur l'ebook
Nombre pages copiables
3
Nombre pages imprimables
39
Taille du fichier
35564 Ko
Prix
116,04 €