二维Stokes近似系统的爆破准则

A Blow-up Criterion of the Two-dimensional Stokes Approximation Equations

研究二维Stokes近似系统方程在一个单位正方形区域上的初始边值问题。我们建立了仅关于密度的局部强解爆破准则,即如果密度不靠近无穷,那么局部强解将关于时间是全局连续的。

An initial boundary value problem of the two-dimensional Stokes Approximation equations in the unit square domain is studied.A blow-up criterion for the local strong solutions in terms of the density only is established.Namely,if the density is away from infinity,then the local strong solutions can be continued globally in time.