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Mathematical analysis on the collective behaviors of agent-based model

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dc.contributor.advisor하승열-
dc.contributor.author최희선-
dc.date.accessioned2017-07-14T00:40:27Z-
dc.date.available2017-07-14T00:40:27Z-
dc.date.issued2013-08-
dc.identifier.other000000013733-
dc.identifier.urihttps://hdl.handle.net/10371/121271-
dc.description학위논문 (박사)-- 서울대학교 대학원 : 수리과학부, 2013. 8. 하승열.-
dc.description.abstractIn 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.
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dc.description.tableofcontents1 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)
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dc.formatapplication/pdf-
dc.format.extent1303111 bytes-
dc.format.mediumapplication/pdf-
dc.language.isoen-
dc.publisher서울대학교 대학원-
dc.subjectCucker-smale model-
dc.subjectKuramoto model-
dc.subject.ddc510-
dc.titleMathematical analysis on the collective behaviors of agent-based model-
dc.typeThesis-
dc.description.degreeDoctor-
dc.citation.pages1,64-
dc.contributor.affiliation자연과학대학 수리과학부-
dc.date.awarded2013-08-
Appears in Collections:
College of Natural Sciences (자연과학대학)Dept. of Mathematical Sciences (수리과학부)Theses (Ph.D. / Sc.D._수리과학부)
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