S-Space College of Natural Sciences (자연과학대학) Dept. of Mathematical Sciences (수리과학부) Theses (Ph.D. / Sc.D._수리과학부)
Mathematical analysis on the collective behaviors of agent-based model
- 자연과학대학 수리과학부
- Issue Date
- 서울대학교 대학원
- 학위논문 (박사)-- 서울대학교 대학원 : 수리과학부, 2013. 8. 하승열.
- 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
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.