2014.07.24 17:42
실적년도 | 2014년 |
---|---|
논문구분 | 국외 |
총저자 | Dongho Chae |
학술지명 | Mathematische Annalen |
권(Vol.) | |
호(No.) | |
게재년월 | 년 월 |
Impact Factor | |
SCI 등재 | SCI |
비고 |
In this paper we use maximum principle in the far field region for the time dependent self-similar Euler equations to exclude discretely self-similar blow-up for the Euler equations of the incompressible fluid flows. Our decay conditions near spatial infinity of the blow-up profile are given explicitly in terms the coefficient in the equations. We also deduce triviality of the discretely self-similar solution to the magnetohydrodynamic system, under suitable decay conditions near spatial infinity than the previous one. Applying similar argument directly to the Euler equations, we obtain a priori estimate of the vorticity in the far field region.