Colloquium
Introduction to nonlinear PDE and interacting particle systems
작성자Author
수학과
작성일Date
20180828 17:23
조회Views
367
분야Field  2018 Math Colloquim  

날짜Date  20181207  시간Time  15:50 ~ 18:00 
장소Place  Math. Bldg. 404  초청자Host  
연사Speaker  Donghyun Lee  소속Affiliation  Postech 
TOPIC  Introduction to nonlinear PDE and interacting particle systems  
소개 및 안내사항Content  1st talk: Introduction to nonlinear PDE and interacting particle systems First, we study basic tools for modern PDE theory. Then, two main research topics, mathematical models for ﬂuid and gas, will be introduced including derivations, main results, and open problems. In particular, we will focus on the Boltzmann equation, a mathematical model for eﬁed gas theory which will be a main topic of Session 2. 2nd talk: Trends to equilibrium in collisional rareﬁed gas theory Dynamics of rareﬁed gas is described by the Boltzmann equation and trends to equilibrium is a key property of rareﬁed gas theory. There are some open problems about this asymptotic behaviors . In this talk, a way of proving equilibrium will be introduced under billiardlike boundary condition. In particular, we analyze NONDEGENERACY condition of billiardlike trajectory which is key argument for equilibrium state. 
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