首页 | 本学科首页   官方微博 | 高级检索  
     检索      


On the Behaviors of Solutions Near Possible Blow-Up Time in the Incompressible Euler and Related Equations
Authors:Dongho Chae
Institution:1. Department of Mathematics , Sungkyunkwan University , Suwon, Korea chae@skku.edu
Abstract:We study behaviors of scalar quantities near the possible blow-up time, which is made of smooth solutions of the Euler equations, Navier–Stokes equations and the surface quasi-geostrophic equations. Integrating the dynamical equations of the scaling invariant norms, we derive the possible blow-up behaviors of the above quantities, from which we obtain new type of blow-up criteria and some necessary conditions for the finite time blow-up.
Keywords:Euler equations  Finite time blow-up  Navier–Stokes equations  Quasi-geostrophic equations
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号