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Advances in Partial Differential Equations

Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains

Autoren: Korikov, Dmitrii, Plamenevskii, Boris, Sarafanov, Oleg

Vorschau
  • Collects main results from scattered papers in this monograph
    Presents a wide range of applications
    Extends previously published works with new insights

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  • ISBN 978-3-030-65372-9
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Über dieses Buch

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.

Inhaltsverzeichnis (8 Kapitel)

Inhaltsverzeichnis (8 Kapitel)

Dieses Buch kaufen

eBook 93,08 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-030-65372-9
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: EPUB, PDF
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Hardcover 117,69 €
Preis für Deutschland (Brutto)
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Bibliografische Information

Bibliographic Information
Buchtitel
Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains
Autoren
Titel der Buchreihe
Advances in Partial Differential Equations
Buchreihen Band
284
Copyright
2021
Verlag
Birkhäuser Basel
Copyright Inhaber
Springer Nature Switzerland AG
eBook ISBN
978-3-030-65372-9
DOI
10.1007/978-3-030-65372-9
Hardcover ISBN
978-3-030-65371-2
Buchreihen ISSN
2504-3587
Auflage
1
Seitenzahl
XI, 399
Anzahl der Bilder
1 Abbildungen in Farbe
Themen