Overview
- Collects main results from scattered papers in this monograph
- Presents a wide range of applications
- Extends previously published works with new insights
Part of the book series: Operator Theory: Advances and Applications (OT, volume 284)
Part of the book sub series: Advances in Partial Differential Equations (APDE)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
Keywords
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.
Authors and Affiliations
Bibliographic Information
Book Title: Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains
Authors: Dmitrii Korikov, Boris Plamenevskii, Oleg Sarafanov
Series Title: Operator Theory: Advances and Applications
DOI: https://doi.org/10.1007/978-3-030-65372-9
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-65371-2Published: 02 April 2021
Softcover ISBN: 978-3-030-65374-3Published: 02 April 2022
eBook ISBN: 978-3-030-65372-9Published: 01 April 2021
Series ISSN: 0255-0156
Series E-ISSN: 2296-4878
Edition Number: 1
Number of Pages: XI, 399
Number of Illustrations: 1 illustrations in colour
Topics: Analysis, Approximations and Expansions