Analysis of singularities for partial differential equations /:
The book provides a comprehensive overview on the theory on analysis of singularities for partial differential equations (PDEs). It contains a summarization of the formation, development and main results on this topic. Some of the author's discoveries and original contributions are also include...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New Jersey :
World Scientific,
©2011.
|
| Series: | Series in applied and computational mathematics ;
v. 1. |
| Subjects: | |
| Online Access: | DE-862 DE-863 |
| Summary: | The book provides a comprehensive overview on the theory on analysis of singularities for partial differential equations (PDEs). It contains a summarization of the formation, development and main results on this topic. Some of the author's discoveries and original contributions are also included, such as the propagation of singularities of solutions to nonlinear equations, singularity index and formation of shocks. |
| Physical Description: | 1 online resource (viii, 198 pages) : illustrations |
| Bibliography: | Includes bibliographical references (pages 191-198). |
| ISBN: | 9789814304849 9814304840 |
Staff View
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| 245 | 1 | 0 | |a Analysis of singularities for partial differential equations / |c Shuxing Chen. |
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| 520 | |a The book provides a comprehensive overview on the theory on analysis of singularities for partial differential equations (PDEs). It contains a summarization of the formation, development and main results on this topic. Some of the author's discoveries and original contributions are also included, such as the propagation of singularities of solutions to nonlinear equations, singularity index and formation of shocks. | ||
| 505 | 0 | |a Preface; 1. Introduction to problems on singularity analysis; 2. Singularity analysis for linear equations; 3. Singularity analysis for semilinear equations; 4. Propagation of singularities for fully nonlinear equations; 5. Propagation of strong singularities for nonlinear equations; 6. Formation of shocks for quasilinear hyperbolic equations; Appendix A Brief review on paradi erential operators; Bibliography. | |
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| author | Chen, Shuxing |
| author_GND | http://id.loc.gov/authorities/names/n84215521 |
| author_facet | Chen, Shuxing |
| author_role | |
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| contents | Preface; 1. Introduction to problems on singularity analysis; 2. Singularity analysis for linear equations; 3. Singularity analysis for semilinear equations; 4. Propagation of singularities for fully nonlinear equations; 5. Propagation of strong singularities for nonlinear equations; 6. Formation of shocks for quasilinear hyperbolic equations; Appendix A Brief review on paradi erential operators; Bibliography. |
| ctrlnum | (OCoLC)740444834 |
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| id | ZDB-4-EBA-ocn740444834 |
| illustrated | Illustrated |
| indexdate | 2025-04-11T08:37:18Z |
| institution | BVB |
| isbn | 9789814304849 9814304840 |
| language | English |
| oclc_num | 740444834 |
| open_access_boolean | |
| owner | MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS |
| physical | 1 online resource (viii, 198 pages) : illustrations |
| psigel | ZDB-4-EBA FWS_PDA_EBA ZDB-4-EBA |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | World Scientific, |
| record_format | marc |
| series | Series in applied and computational mathematics ; |
| series2 | Series in applied and computational mathematics ; |
| spelling | Chen, Shuxing. https://id.oclc.org/worldcat/entity/E39PCjrtxJ97BTMqtQYHwJrbr3 http://id.loc.gov/authorities/names/n84215521 Analysis of singularities for partial differential equations / Shuxing Chen. New Jersey : World Scientific, ©2011. 1 online resource (viii, 198 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Series in applied and computational mathematics ; v. 1 Includes bibliographical references (pages 191-198). Print version record. The book provides a comprehensive overview on the theory on analysis of singularities for partial differential equations (PDEs). It contains a summarization of the formation, development and main results on this topic. Some of the author's discoveries and original contributions are also included, such as the propagation of singularities of solutions to nonlinear equations, singularity index and formation of shocks. Preface; 1. Introduction to problems on singularity analysis; 2. Singularity analysis for linear equations; 3. Singularity analysis for semilinear equations; 4. Propagation of singularities for fully nonlinear equations; 5. Propagation of strong singularities for nonlinear equations; 6. Formation of shocks for quasilinear hyperbolic equations; Appendix A Brief review on paradi erential operators; Bibliography. Differential equations, Partial. http://id.loc.gov/authorities/subjects/sh85037912 Singularities (Mathematics) http://id.loc.gov/authorities/subjects/sh85122871 Équations aux dérivées partielles. Singularités (Mathématiques) MATHEMATICS Differential Equations Partial. bisacsh Differential equations, Partial fast Singularities (Mathematics) fast has work: Analysis of singularities for partial differential equations (Text) https://id.oclc.org/worldcat/entity/E39PCGMkpCfDgRt6VrJxQvtfC3 https://id.oclc.org/worldcat/ontology/hasWork Print version: Chen, Shuxing. Analysis of singularities for partial differential equations. Singapore ; Hackensack, NJ : World Scientific, ©2011 9789814304832 (DLC) 2010537504 (OCoLC)587124401 Series in applied and computational mathematics ; v. 1. http://id.loc.gov/authorities/names/no2011022622 |
| spellingShingle | Chen, Shuxing Analysis of singularities for partial differential equations / Series in applied and computational mathematics ; Preface; 1. Introduction to problems on singularity analysis; 2. Singularity analysis for linear equations; 3. Singularity analysis for semilinear equations; 4. Propagation of singularities for fully nonlinear equations; 5. Propagation of strong singularities for nonlinear equations; 6. Formation of shocks for quasilinear hyperbolic equations; Appendix A Brief review on paradi erential operators; Bibliography. Differential equations, Partial. http://id.loc.gov/authorities/subjects/sh85037912 Singularities (Mathematics) http://id.loc.gov/authorities/subjects/sh85122871 Équations aux dérivées partielles. Singularités (Mathématiques) MATHEMATICS Differential Equations Partial. bisacsh Differential equations, Partial fast Singularities (Mathematics) fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85037912 http://id.loc.gov/authorities/subjects/sh85122871 |
| title | Analysis of singularities for partial differential equations / |
| title_auth | Analysis of singularities for partial differential equations / |
| title_exact_search | Analysis of singularities for partial differential equations / |
| title_full | Analysis of singularities for partial differential equations / Shuxing Chen. |
| title_fullStr | Analysis of singularities for partial differential equations / Shuxing Chen. |
| title_full_unstemmed | Analysis of singularities for partial differential equations / Shuxing Chen. |
| title_short | Analysis of singularities for partial differential equations / |
| title_sort | analysis of singularities for partial differential equations |
| topic | Differential equations, Partial. http://id.loc.gov/authorities/subjects/sh85037912 Singularities (Mathematics) http://id.loc.gov/authorities/subjects/sh85122871 Équations aux dérivées partielles. Singularités (Mathématiques) MATHEMATICS Differential Equations Partial. bisacsh Differential equations, Partial fast Singularities (Mathematics) fast |
| topic_facet | Differential equations, Partial. Singularities (Mathematics) Équations aux dérivées partielles. Singularités (Mathématiques) MATHEMATICS Differential Equations Partial. Differential equations, Partial |
| work_keys_str_mv | AT chenshuxing analysisofsingularitiesforpartialdifferentialequations |