Nonlinear Equations with Small Parameter. / Volume 2, : Waves and Boundary Problems.
This is the second volume of Nonlinear Equations with Small Parameter containing new methods of construction of global asymptotics of solutions to nonlinear equations with small parameter. They allow one to match asymptotics of various properties with each other in transition regions and to get unif...
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2018] ©2018 |
Year of Publication: | 2018 |
Language: | English |
Series: | De Gruyter Series in Nonlinear Analysis and Applications ,
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Physical Description: | 1 online resource (XVIII, 423 p.) |
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Tarkhanov, Nikolai N., author. aut http://id.loc.gov/vocabulary/relators/aut Nonlinear Equations with Small Parameter. Volume 2, Waves and Boundary Problems. Berlin ; Boston : De Gruyter, [2018] ©2018 1 online resource (XVIII, 423 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Series in Nonlinear Analysis and Applications , 0941-813X ; 23/2 Frontmatter -- Preface -- Contents -- Introduction -- 1. The Solitary Waves Generation due to Passage through the Local Resonance -- 2. Regular Perturbation of Ill-Posed Problems -- 3. Asymptotics at Characteristic Points -- 4. Asymptotic Expansions of Singular Perturbation Theory -- 5. Asymptotic Solution of the Schrödinger Equation -- 6. The Kelvin–Helmholtz Instability -- 7. Nonlinear Cauchy Problems for Elliptic Equations -- Bibliography -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star This is the second volume of Nonlinear Equations with Small Parameter containing new methods of construction of global asymptotics of solutions to nonlinear equations with small parameter. They allow one to match asymptotics of various properties with each other in transition regions and to get unified formulas for connection of characteristic parameters of approximate solutions. This approach underlies modern asymptotic methods and gives a deep insight into crucial nonlinear phenomena. These are beginnings of chaos in dynamical systems, incipient solitary and shock waves, oscillatory processes in crystals, engineering constructions and quantum systems. Apart from independent interest the approximate solutions serve as a foolproof basis for testing numerical algorithms. The second volume will be related to partial differential equations. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) Nonlinear theories. MATHEMATICS / Differential Equations / General. bisacsh Title is part of eBook package: De Gruyter DG Plus DeG Package 2018 Part 1 9783110762488 Title is part of eBook package: De Gruyter DG Plus eBook-Package 2018 9783110719550 Title is part of eBook package: De Gruyter DG Studies in Nonlinear Analysis and Applications 9783110647099 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2018 English 9783110604252 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2018 9783110603255 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2018 English 9783110604191 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2018 9783110603194 ZDB-23-DMA EPUB 9783110533903 print 9783110533835 https://doi.org/10.1515/9783110534979 https://www.degruyter.com/isbn/9783110534979 Cover https://www.degruyter.com/document/cover/isbn/9783110534979/original |
language |
English |
format |
eBook |
author |
Tarkhanov, Nikolai N., Tarkhanov, Nikolai N., |
spellingShingle |
Tarkhanov, Nikolai N., Tarkhanov, Nikolai N., Nonlinear Equations with Small Parameter. De Gruyter Series in Nonlinear Analysis and Applications , Frontmatter -- Preface -- Contents -- Introduction -- 1. The Solitary Waves Generation due to Passage through the Local Resonance -- 2. Regular Perturbation of Ill-Posed Problems -- 3. Asymptotics at Characteristic Points -- 4. Asymptotic Expansions of Singular Perturbation Theory -- 5. Asymptotic Solution of the Schrödinger Equation -- 6. The Kelvin–Helmholtz Instability -- 7. Nonlinear Cauchy Problems for Elliptic Equations -- Bibliography -- Index |
author_facet |
Tarkhanov, Nikolai N., Tarkhanov, Nikolai N., |
author_variant |
n n t nn nnt n n t nn nnt |
author_role |
VerfasserIn VerfasserIn |
author_sort |
Tarkhanov, Nikolai N., |
title |
Nonlinear Equations with Small Parameter. |
title_full |
Nonlinear Equations with Small Parameter. Volume 2, Waves and Boundary Problems. |
title_fullStr |
Nonlinear Equations with Small Parameter. Volume 2, Waves and Boundary Problems. |
title_full_unstemmed |
Nonlinear Equations with Small Parameter. Volume 2, Waves and Boundary Problems. |
title_auth |
Nonlinear Equations with Small Parameter. |
title_alt |
Frontmatter -- Preface -- Contents -- Introduction -- 1. The Solitary Waves Generation due to Passage through the Local Resonance -- 2. Regular Perturbation of Ill-Posed Problems -- 3. Asymptotics at Characteristic Points -- 4. Asymptotic Expansions of Singular Perturbation Theory -- 5. Asymptotic Solution of the Schrödinger Equation -- 6. The Kelvin–Helmholtz Instability -- 7. Nonlinear Cauchy Problems for Elliptic Equations -- Bibliography -- Index |
title_new |
Nonlinear Equations with Small Parameter. |
title_sort |
nonlinear equations with small parameter. waves and boundary problems. |
series |
De Gruyter Series in Nonlinear Analysis and Applications , |
series2 |
De Gruyter Series in Nonlinear Analysis and Applications , |
publisher |
De Gruyter, |
publishDate |
2018 |
physical |
1 online resource (XVIII, 423 p.) Issued also in print. |
contents |
Frontmatter -- Preface -- Contents -- Introduction -- 1. The Solitary Waves Generation due to Passage through the Local Resonance -- 2. Regular Perturbation of Ill-Posed Problems -- 3. Asymptotics at Characteristic Points -- 4. Asymptotic Expansions of Singular Perturbation Theory -- 5. Asymptotic Solution of the Schrödinger Equation -- 6. The Kelvin–Helmholtz Instability -- 7. Nonlinear Cauchy Problems for Elliptic Equations -- Bibliography -- Index |
isbn |
9783110534979 9783110762488 9783110719550 9783110647099 9783110604252 9783110603255 9783110604191 9783110603194 9783110533903 9783110533835 |
issn |
0941-813X ; |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA427 |
callnumber-sort |
QA 3427 G54 42017 |
url |
https://doi.org/10.1515/9783110534979 https://www.degruyter.com/isbn/9783110534979 https://www.degruyter.com/document/cover/isbn/9783110534979/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
510 - Mathematics |
dewey-full |
510 |
dewey-sort |
3510 |
dewey-raw |
510 |
dewey-search |
510 |
doi_str_mv |
10.1515/9783110534979 |
oclc_num |
1041985890 |
work_keys_str_mv |
AT tarkhanovnikolain nonlinearequationswithsmallparametervolume2 |
status_str |
n |
ids_txt_mv |
(DE-B1597)477756 (OCoLC)1041985890 |
carrierType_str_mv |
cr |
title_part_txt |
Waves and Boundary Problems. |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter DG Plus DeG Package 2018 Part 1 Title is part of eBook package: De Gruyter DG Plus eBook-Package 2018 Title is part of eBook package: De Gruyter DG Studies in Nonlinear Analysis and Applications Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2018 English Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2018 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2018 English Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2018 |
is_hierarchy_title |
Nonlinear Equations with Small Parameter. |
container_title |
Title is part of eBook package: De Gruyter DG Plus DeG Package 2018 Part 1 |
_version_ |
1806144449115324416 |
fullrecord |
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