Lie Group Analysis of Differential Equations : : Invariant Solutions of Nonlinear Physical Phenomena / / Ranis Ibragimov.
The book is focused on physical interpretation and visualization of the obtained invariant solutions for nonlinear mathematical modeling of atmospheric and ocean waves. This volume represents a unique blend of analytical and numerical methods complemented by the author's developments in ocean a...
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| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2024] ©2024 |
| Year of Publication: | 2024 |
| Language: | English |
| Series: | De Gruyter Series in Nonlinear Analysis and Applications ,
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| Physical Description: | 1 online resource (XIV, 284 p.) |
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Ibragimov, Ranis , author. aut http://id.loc.gov/vocabulary/relators/aut Lie Group Analysis of Differential Equations : Invariant Solutions of Nonlinear Physical Phenomena / Ranis Ibragimov. Berlin ; Boston : De Gruyter, [2024] ©2024 1 online resource (XIV, 284 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 ; 43 Frontmatter -- Preface -- Acknowledgments -- Contents -- 1 Lie group analysis of differential equations -- 2 Integration of ordinary differential equations -- 3 Illustration: invariant solutions as internal singularities of nonlinear differential equations -- 4 Modeling scenario 1: blood flow of variable density -- 5 Modeling scenario 2: invariant solutions as dispersion relation -- 6 Modeling scenario 3: invariant solutions of nonlinear surface waves in the ocean and atmosphere -- 7 Modeling scenario 4: Rossby nonlinear atmospheric waves along a spherical planet -- 8 Modeling scenario 5: invariant solutions as ocean whirlpools -- 9 Modeling scenario 6: invariant solutions of internal waves in the ocean -- Bibliography -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star The book is focused on physical interpretation and visualization of the obtained invariant solutions for nonlinear mathematical modeling of atmospheric and ocean waves. This volume represents a unique blend of analytical and numerical methods complemented by the author's developments in ocean and atmospheric sciences and it is meant for researchers and graduate students interested in applied mathematics and mathematical modeling. 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 06. Mrz 2024) Invariante und exakte Lösungen. Navier-Stokes-Gleichungen. Nichtlineare Mathematische Modellierung. Physikalische Phänomene. Visualisierung und physikalische Interpretation. MATHEMATICS / Differential Equations / Partial. bisacsh Nonlinear mathematical modeling, physical phenomena, atmospheric and ocean waves, Navier-Stokes equations, Invariant and exact solutions. visualization and physical interpretation. Title is part of eBook package: De Gruyter DG Plus DeG Package 2024 Part 1 9783111332192 EPUB 9783111387802 print 9783111386997 https://doi.org/10.1515/9783111387499 https://www.degruyter.com/isbn/9783111387499 Cover https://www.degruyter.com/document/cover/isbn/9783111387499/original |
| language |
English |
| format |
eBook |
| author |
Ibragimov, Ranis , Ibragimov, Ranis , |
| spellingShingle |
Ibragimov, Ranis , Ibragimov, Ranis , Lie Group Analysis of Differential Equations : Invariant Solutions of Nonlinear Physical Phenomena / De Gruyter Series in Nonlinear Analysis and Applications , Frontmatter -- Preface -- Acknowledgments -- Contents -- 1 Lie group analysis of differential equations -- 2 Integration of ordinary differential equations -- 3 Illustration: invariant solutions as internal singularities of nonlinear differential equations -- 4 Modeling scenario 1: blood flow of variable density -- 5 Modeling scenario 2: invariant solutions as dispersion relation -- 6 Modeling scenario 3: invariant solutions of nonlinear surface waves in the ocean and atmosphere -- 7 Modeling scenario 4: Rossby nonlinear atmospheric waves along a spherical planet -- 8 Modeling scenario 5: invariant solutions as ocean whirlpools -- 9 Modeling scenario 6: invariant solutions of internal waves in the ocean -- Bibliography -- Index |
| author_facet |
Ibragimov, Ranis , Ibragimov, Ranis , |
| author_variant |
r i ri r i ri |
| author_role |
VerfasserIn VerfasserIn |
| author_sort |
Ibragimov, Ranis , |
| title |
Lie Group Analysis of Differential Equations : Invariant Solutions of Nonlinear Physical Phenomena / |
| title_sub |
Invariant Solutions of Nonlinear Physical Phenomena / |
| title_full |
Lie Group Analysis of Differential Equations : Invariant Solutions of Nonlinear Physical Phenomena / Ranis Ibragimov. |
| title_fullStr |
Lie Group Analysis of Differential Equations : Invariant Solutions of Nonlinear Physical Phenomena / Ranis Ibragimov. |
| title_full_unstemmed |
Lie Group Analysis of Differential Equations : Invariant Solutions of Nonlinear Physical Phenomena / Ranis Ibragimov. |
| title_auth |
Lie Group Analysis of Differential Equations : Invariant Solutions of Nonlinear Physical Phenomena / |
| title_alt |
Frontmatter -- Preface -- Acknowledgments -- Contents -- 1 Lie group analysis of differential equations -- 2 Integration of ordinary differential equations -- 3 Illustration: invariant solutions as internal singularities of nonlinear differential equations -- 4 Modeling scenario 1: blood flow of variable density -- 5 Modeling scenario 2: invariant solutions as dispersion relation -- 6 Modeling scenario 3: invariant solutions of nonlinear surface waves in the ocean and atmosphere -- 7 Modeling scenario 4: Rossby nonlinear atmospheric waves along a spherical planet -- 8 Modeling scenario 5: invariant solutions as ocean whirlpools -- 9 Modeling scenario 6: invariant solutions of internal waves in the ocean -- Bibliography -- Index |
| title_new |
Lie Group Analysis of Differential Equations : |
| title_sort |
lie group analysis of differential equations : invariant solutions of nonlinear physical phenomena / |
| series |
De Gruyter Series in Nonlinear Analysis and Applications , |
| series2 |
De Gruyter Series in Nonlinear Analysis and Applications , |
| publisher |
De Gruyter, |
| publishDate |
2024 |
| physical |
1 online resource (XIV, 284 p.) Issued also in print. |
| contents |
Frontmatter -- Preface -- Acknowledgments -- Contents -- 1 Lie group analysis of differential equations -- 2 Integration of ordinary differential equations -- 3 Illustration: invariant solutions as internal singularities of nonlinear differential equations -- 4 Modeling scenario 1: blood flow of variable density -- 5 Modeling scenario 2: invariant solutions as dispersion relation -- 6 Modeling scenario 3: invariant solutions of nonlinear surface waves in the ocean and atmosphere -- 7 Modeling scenario 4: Rossby nonlinear atmospheric waves along a spherical planet -- 8 Modeling scenario 5: invariant solutions as ocean whirlpools -- 9 Modeling scenario 6: invariant solutions of internal waves in the ocean -- Bibliography -- Index |
| isbn |
9783111387499 9783111332192 9783111387802 9783111386997 |
| issn |
0941-813X ; |
| url |
https://doi.org/10.1515/9783111387499 https://www.degruyter.com/isbn/9783111387499 https://www.degruyter.com/document/cover/isbn/9783111387499/original |
| illustrated |
Not Illustrated |
| doi_str_mv |
10.1515/9783111387499 |
| work_keys_str_mv |
AT ibragimovranis liegroupanalysisofdifferentialequationsinvariantsolutionsofnonlinearphysicalphenomena |
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n |
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(DE-B1597)672436 |
| carrierType_str_mv |
cr |
| hierarchy_parent_title |
Title is part of eBook package: De Gruyter DG Plus DeG Package 2024 Part 1 |
| is_hierarchy_title |
Lie Group Analysis of Differential Equations : Invariant Solutions of Nonlinear Physical Phenomena / |
| container_title |
Title is part of eBook package: De Gruyter DG Plus DeG Package 2024 Part 1 |
| _version_ |
1795090193990025216 |
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