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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains

Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains

Korikov, Dmitrii
Plamenevskii, Boris
Sarafanov, Oleg

Paperback

General Mathematics

ISBN10: 3030653749
ISBN13: 9783030653743
Publisher: Birkhauser
Published: Apr 2 2022
Pages: 399
Weight: 1.27
Height: 0.84 Width: 6.14 Depth: 9.21
Language: English

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.

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