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Mathematical analysis on the collective behaviors of agent-based model
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.advisor | 하승열 | - |
| dc.contributor.author | 최희선 | - |
| dc.date.accessioned | 2017-07-14T00:40:27Z | - |
| dc.date.available | 2017-07-14T00:40:27Z | - |
| dc.date.issued | 2013-08 | - |
| dc.identifier.other | 000000013733 | - |
| dc.identifier.uri | https://hdl.handle.net/10371/121271 | - |
| dc.description | 학위논문 (박사)-- 서울대학교 대학원 : 수리과학부, 2013. 8. 하승열. | - |
| dc.description.abstract | In this thesis, we study collective behaviors of agent-based model. In Chapter
2, we present preliminary properties of Cucker-Smale type model and Kuramoto type model. In Chapter 3, we prove a generalized ocking estimate for the Cucker-Smale type model. In Chapter 4, we study about global existence for the Cucker-Smale type model with singular weights and the Cucker-Smale model with a bonding force. In Chapter 5, we study about the Kuramoto type model with the nearest neighbor interactions in a ring. Finally, in Chapter 6, we conclude this thesis with mathematical problems related by agent-based model. | - |
| dc.description.tableofcontents | 1 Introduction
2 Preliminaries 2.1 Preliminaries 2.1.1 The C-S model with a singular weight 2.1.2 The C-S model with a bonding force 2.1.3 The Kuramoto model with the nearest neighbor interactions 3 A generalized flocking estimate for the C-S model 9 3.1 Lyapunov type functionals in l(infinity)-framework 4 A global existence theory for the C-S model 4.1 A global existence theory for the C-S model with singular weights 4.1.1 A two-particle system 4.1.2 A many-body particle system 4.2 A global existence theory for the C-S model with a bonding force 4.2.1 A priori estimates 4.2.2 A new spatial fluctuation functional 4.2.3 Existence of global smooth solutions 5 The Kuramoto model in a ring 5.1 The Kuramoto model without inertia 5.1.1 Identical oscillators 5.1.2 Non-identical oscillators 5.2 The Kuramoto model with finite inertia 5.2.1 Identical oscillators 5.2.2 Non-identical oscillators 6 Conclusion Abstract (in Korean) | - |
| dc.format | application/pdf | - |
| dc.format.extent | 1303111 bytes | - |
| dc.format.medium | application/pdf | - |
| dc.language.iso | en | - |
| dc.publisher | 서울대학교 대학원 | - |
| dc.subject | Cucker-smale model | - |
| dc.subject | Kuramoto model | - |
| dc.subject.ddc | 510 | - |
| dc.title | Mathematical analysis on the collective behaviors of agent-based model | - |
| dc.type | Thesis | - |
| dc.description.degree | Doctor | - |
| dc.citation.pages | 1,64 | - |
| dc.contributor.affiliation | 자연과학대학 수리과학부 | - |
| dc.date.awarded | 2013-08 | - |
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