Vanishing Viscosity Method : : Solutions to Nonlinear Systems / / Boling Guo, Dongfen Bian, Fangfang Li, Xiaoyu Xi.
The book summarizes several mathematical aspects of the vanishing viscosity method and considers its applications in studying dynamical systems such as dissipative systems, hyperbolic conversion systems and nonlinear dispersion systems. Including original research results, the book demonstrates how...
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2016] ©2017 |
Year of Publication: | 2016 |
Language: | English |
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Guo, Boling, author. aut http://id.loc.gov/vocabulary/relators/aut Vanishing Viscosity Method : Solutions to Nonlinear Systems / Boling Guo, Dongfen Bian, Fangfang Li, Xiaoyu Xi. Berlin ; Boston : De Gruyter, [2016] ©2017 1 online resource (VIII, 561 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Frontmatter -- Preface -- Contents -- 1. Sobolev Space and Preliminaries -- 2. The Vanishing Viscosity Method of Some Nonlinear Evolution System -- 3. The Vanishing Viscosity Method of Quasilinear Hyperbolic System -- 4. Physical Viscosity and Viscosity of Difference Scheme -- 5. Convergence of Lax–Friedrichs Scheme, Godunov Scheme and Glimm Scheme -- 6. Electric–Magnetohydrodynamic Equations -- References restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star The book summarizes several mathematical aspects of the vanishing viscosity method and considers its applications in studying dynamical systems such as dissipative systems, hyperbolic conversion systems and nonlinear dispersion systems. Including original research results, the book demonstrates how to use such methods to solve PDEs and is an essential reference for mathematicians, physicists and engineers working in nonlinear science. Contents:PrefaceSobolev Space and PreliminariesThe Vanishing Viscosity Method of Some Nonlinear Evolution SystemThe Vanishing Viscosity Method of Quasilinear Hyperbolic SystemPhysical Viscosity and Viscosity of Difference SchemeConvergence of Lax–Friedrichs Scheme, Godunov Scheme and Glimm SchemeElectric–Magnetohydrodynamic EquationsReferences 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 30. Aug 2021) Viscosity solutions. MATHEMATICS / Differential Equations / General. bisacsh Vanishing viscosity method. dissipative systems. partial differential equations. Bian, Dongfen, author. aut http://id.loc.gov/vocabulary/relators/aut Li, Fangfang, author. aut http://id.loc.gov/vocabulary/relators/aut Xi, Xiaoyu, author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter DG Plus eBook-Package 2017 9783110719543 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2016 9783110485103 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2016 9783110485288 ZDB-23-DMA EPUB 9783110492576 print 9783110495287 https://doi.org/10.1515/9783110494273 https://www.degruyter.com/isbn/9783110494273 Cover https://www.degruyter.com/cover/covers/9783110494273.jpg |
language |
English |
format |
eBook |
author |
Guo, Boling, Guo, Boling, Bian, Dongfen, Li, Fangfang, Xi, Xiaoyu, |
spellingShingle |
Guo, Boling, Guo, Boling, Bian, Dongfen, Li, Fangfang, Xi, Xiaoyu, Vanishing Viscosity Method : Solutions to Nonlinear Systems / Frontmatter -- Preface -- Contents -- 1. Sobolev Space and Preliminaries -- 2. The Vanishing Viscosity Method of Some Nonlinear Evolution System -- 3. The Vanishing Viscosity Method of Quasilinear Hyperbolic System -- 4. Physical Viscosity and Viscosity of Difference Scheme -- 5. Convergence of Lax–Friedrichs Scheme, Godunov Scheme and Glimm Scheme -- 6. Electric–Magnetohydrodynamic Equations -- References |
author_facet |
Guo, Boling, Guo, Boling, Bian, Dongfen, Li, Fangfang, Xi, Xiaoyu, Bian, Dongfen, Bian, Dongfen, Li, Fangfang, Li, Fangfang, Xi, Xiaoyu, Xi, Xiaoyu, |
author_variant |
b g bg b g bg d b db f l fl x x xx |
author_role |
VerfasserIn VerfasserIn VerfasserIn VerfasserIn VerfasserIn |
author2 |
Bian, Dongfen, Bian, Dongfen, Li, Fangfang, Li, Fangfang, Xi, Xiaoyu, Xi, Xiaoyu, |
author2_variant |
d b db f l fl x x xx |
author2_role |
VerfasserIn VerfasserIn VerfasserIn VerfasserIn VerfasserIn VerfasserIn |
author_sort |
Guo, Boling, |
title |
Vanishing Viscosity Method : Solutions to Nonlinear Systems / |
title_sub |
Solutions to Nonlinear Systems / |
title_full |
Vanishing Viscosity Method : Solutions to Nonlinear Systems / Boling Guo, Dongfen Bian, Fangfang Li, Xiaoyu Xi. |
title_fullStr |
Vanishing Viscosity Method : Solutions to Nonlinear Systems / Boling Guo, Dongfen Bian, Fangfang Li, Xiaoyu Xi. |
title_full_unstemmed |
Vanishing Viscosity Method : Solutions to Nonlinear Systems / Boling Guo, Dongfen Bian, Fangfang Li, Xiaoyu Xi. |
title_auth |
Vanishing Viscosity Method : Solutions to Nonlinear Systems / |
title_alt |
Frontmatter -- Preface -- Contents -- 1. Sobolev Space and Preliminaries -- 2. The Vanishing Viscosity Method of Some Nonlinear Evolution System -- 3. The Vanishing Viscosity Method of Quasilinear Hyperbolic System -- 4. Physical Viscosity and Viscosity of Difference Scheme -- 5. Convergence of Lax–Friedrichs Scheme, Godunov Scheme and Glimm Scheme -- 6. Electric–Magnetohydrodynamic Equations -- References |
title_new |
Vanishing Viscosity Method : |
title_sort |
vanishing viscosity method : solutions to nonlinear systems / |
publisher |
De Gruyter, |
publishDate |
2016 |
physical |
1 online resource (VIII, 561 p.) |
contents |
Frontmatter -- Preface -- Contents -- 1. Sobolev Space and Preliminaries -- 2. The Vanishing Viscosity Method of Some Nonlinear Evolution System -- 3. The Vanishing Viscosity Method of Quasilinear Hyperbolic System -- 4. Physical Viscosity and Viscosity of Difference Scheme -- 5. Convergence of Lax–Friedrichs Scheme, Godunov Scheme and Glimm Scheme -- 6. Electric–Magnetohydrodynamic Equations -- References |
isbn |
9783110494273 9783110719543 9783110485103 9783110485288 9783110492576 9783110495287 |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA316 |
callnumber-sort |
QA 3316 V338 42017 |
url |
https://doi.org/10.1515/9783110494273 https://www.degruyter.com/isbn/9783110494273 https://www.degruyter.com/cover/covers/9783110494273.jpg |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
515 - Analysis |
dewey-full |
515/.353 |
dewey-sort |
3515 3353 |
dewey-raw |
515/.353 |
dewey-search |
515/.353 |
doi_str_mv |
10.1515/9783110494273 |
oclc_num |
979633980 |
work_keys_str_mv |
AT guoboling vanishingviscositymethodsolutionstononlinearsystems AT biandongfen vanishingviscositymethodsolutionstononlinearsystems AT lifangfang vanishingviscositymethodsolutionstononlinearsystems AT xixiaoyu vanishingviscositymethodsolutionstononlinearsystems |
status_str |
n |
ids_txt_mv |
(DE-B1597)469743 (OCoLC)979633980 |
carrierType_str_mv |
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hierarchy_parent_title |
Title is part of eBook package: De Gruyter DG Plus eBook-Package 2017 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2016 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2016 |
is_hierarchy_title |
Vanishing Viscosity Method : Solutions to Nonlinear Systems / |
container_title |
Title is part of eBook package: De Gruyter DG Plus eBook-Package 2017 |
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