On the particle, kinetic and hydrodynamic Thermodynamic Cucker-Smale model

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On the particle, kinetic and hydrodynamic Thermodynamic Cucker-Smale model

수리과학부 0 2849
구분 학위 논문 심사
일정 2018-06-01(금) 17:00~18:00
세미나실 27동 325호
강연자 민찬호 (서울대학교)
담당교수 하승열
기타
In this thesis, we mainly discuss the Thermodynamic Cucker-Smale model (TCS), a kind of the Cucker-Smale model, that is influenced by the internal energy of the particles. The TCS model is constructed to satisfy the entropy condition and other notable thermodynamic behaviors. We will prove that under certain initial conditions, a flocking behavior emerges in TCS models, the fact from which we further draw the conclusion of the uniform stability of the TCS models. We will also present mesoscopic and macroscopic versions of the TCS model : kinetic TCS and hydrodynamic TCS models. Using stability and regularity, we will prove that the solution for each of these models exists for every time. Also, we will show that each of these models has similar flocking behaviors as those of particle models. Furthermore, we will show the well-posedness of each model.

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