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Advances in Partial Differential Equations

Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains

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

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  • 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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eBook 93,08 €
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  • ISBN 978-3-030-65372-9
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Hardcover 114,39 €
price for Spain (gross)
  • ISBN 978-3-030-65371-2
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About this book

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.

Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook 93,08 €
price for Spain (gross)
  • ISBN 978-3-030-65372-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 114,39 €
price for Spain (gross)
  • ISBN 978-3-030-65371-2
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains
Authors
Series Title
Advances in Partial Differential Equations
Series Volume
284
Copyright
2021
Publisher
Birkhäuser Basel
Copyright Holder
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
Series ISSN
2504-3587
Edition Number
1
Number of Pages
XI, 399
Number of Illustrations
1 illustrations in colour
Topics