Language:
English
繁體中文
Help
Login
Back
Switch To:
Labeled
|
MARC Mode
|
ISBD
Asymptotic Theory of Dynamic Boundar...
~
Korikov, Dmitrii.
Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains/ by Dmitrii Korikov, Boris Plamenevskii, Oleg Sarafanov.
Author:
Korikov, Dmitrii.
other author:
Plamenevskii, Boris.
Description:
XI, 399 p. 1 illus. in color.online resource. :
Contained By:
Springer Nature eBook
Subject:
Mathematical analysis. -
Online resource:
https://doi.org/10.1007/978-3-030-65372-9
ISBN:
9783030653729
Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains
Korikov, Dmitrii.
Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains
[electronic resource] /by Dmitrii Korikov, Boris Plamenevskii, Oleg Sarafanov. - 1st ed. 2021. - XI, 399 p. 1 illus. in color.online resource. - Advances in Partial Differential Equations,2842504-3595 ;. - Advances in Partial Differential Equations,245.
Elliptic boundary value problems in domains with piecewise smooth boundary -- Wave equation in domains with conical points -- Hyperbolic systems in domains with edges -- Non-stationary Maxwell system in domains with conical points -- Elastodynamics problems in domains with edges -- Wave equation in singularly perturbed domains -- Non-stationary Maxwell system in domains with small holes -- Jermain–Lagrange dynamic plate equation in a domain with corner points.
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.
ISBN: 9783030653729
Standard No.: 10.1007/978-3-030-65372-9doiSubjects--Topical Terms:
527926
Mathematical analysis.
LC Class. No.: QA299.6-433
Dewey Class. No.: 515
Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains
LDR
:03157nam a22004095i 4500
001
1050156
003
DE-He213
005
20210818150738.0
007
cr nn 008mamaa
008
220103s2021 sz | s |||| 0|eng d
020
$a
9783030653729
$9
978-3-030-65372-9
024
7
$a
10.1007/978-3-030-65372-9
$2
doi
035
$a
978-3-030-65372-9
050
4
$a
QA299.6-433
072
7
$a
PBK
$2
bicssc
072
7
$a
MAT034000
$2
bisacsh
072
7
$a
PBK
$2
thema
082
0 4
$a
515
$2
23
100
1
$a
Korikov, Dmitrii.
$e
author.
$4
aut
$4
http://id.loc.gov/vocabulary/relators/aut
$3
1354416
245
1 0
$a
Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains
$h
[electronic resource] /
$c
by Dmitrii Korikov, Boris Plamenevskii, Oleg Sarafanov.
250
$a
1st ed. 2021.
264
1
$a
Cham :
$b
Springer International Publishing :
$b
Imprint: Birkhäuser,
$c
2021.
300
$a
XI, 399 p. 1 illus. in color.
$b
online resource.
336
$a
text
$b
txt
$2
rdacontent
337
$a
computer
$b
c
$2
rdamedia
338
$a
online resource
$b
cr
$2
rdacarrier
347
$a
text file
$b
PDF
$2
rda
490
1
$a
Advances in Partial Differential Equations,
$x
2504-3595 ;
$v
284
505
0
$a
Elliptic boundary value problems in domains with piecewise smooth boundary -- Wave equation in domains with conical points -- Hyperbolic systems in domains with edges -- Non-stationary Maxwell system in domains with conical points -- Elastodynamics problems in domains with edges -- Wave equation in singularly perturbed domains -- Non-stationary Maxwell system in domains with small holes -- Jermain–Lagrange dynamic plate equation in a domain with corner points.
520
$a
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.
650
0
$a
Mathematical analysis.
$3
527926
650
0
$a
Analysis (Mathematics).
$3
1253570
650
0
$a
Approximation theory.
$3
527707
650
1 4
$a
Analysis.
$3
669490
650
2 4
$a
Approximations and Expansions.
$3
672153
700
1
$a
Plamenevskii, Boris.
$e
author.
$4
aut
$4
http://id.loc.gov/vocabulary/relators/aut
$3
1261256
700
1
$a
Sarafanov, Oleg.
$e
author.
$4
aut
$4
http://id.loc.gov/vocabulary/relators/aut
$3
1261257
710
2
$a
SpringerLink (Online service)
$3
593884
773
0
$t
Springer Nature eBook
776
0 8
$i
Printed edition:
$z
9783030653712
776
0 8
$i
Printed edition:
$z
9783030653736
776
0 8
$i
Printed edition:
$z
9783030653743
830
0
$a
Advances in Partial Differential Equations,
$x
2504-3587 ;
$v
245
$3
1254989
856
4 0
$u
https://doi.org/10.1007/978-3-030-65372-9
912
$a
ZDB-2-SMA
912
$a
ZDB-2-SXMS
950
$a
Mathematics and Statistics (SpringerNature-11649)
950
$a
Mathematics and Statistics (R0) (SpringerNature-43713)
based on 0 review(s)
Multimedia
Reviews
Add a review
and share your thoughts with other readers
Export
pickup library
Processing
...
Change password
Login