1. 일시 : 2019년 10월 11일 (금) 오후 4시 30분 ~ 5시 30분
2. 장소 : 아산이학관 526호
3. 연사 : 정인지 (고등과학원 수학부, 연구원)
4. 제목 : Incompressible Euler equations: a priori estimates and beyond
5. 내용 : We will introduce the incompressible Euler equations, which describe the dynamics
of volume-preserving and inviscid fluids.
Leonhard Euler have derived this equations already in 1755, but a lot of important questions remain open.
We shall discuss a priori estimates for the Euler equations, which gives an upper bound
on the solution in function spaces.
This guarantees in particular that if the initial fluid velocity is smooth, then there is a unique smooth solution for some time interval. On the other hand, recently there have been a lot of attempts in showing lower bounds on the solution instead, with the goal of establishing finite-time singularity formation. We will review some recent results towards this direction.