含阻力项的三维不可压缩Navier-Stokes方程的正则性  

Regularity of Solutions for 3D-incompressible Navier-Stokes Equations with Damping Term

作　　者：张杨瑨[1] 郑圣明[1] 董柏青[1] 

机构地区：[1]安徽大学数学科学学院,合肥230601

出　　处：《合肥学院学报（自然科学版）》2013年第2期24-27,共4页Journal of Hefei University :Natural Sciences

摘　　要：研究了含有阻力项|u|β-1u(β≥1)的3维不可压缩Navier-Stokes方程的Cauchy问题.在一般条件下,利用Holder不等式和正规Lorentz空间的相关性质,得出了适合条件2/p+3/q≤1,3<q<∞的弱解的正则性,推广了相关文献已获得的部分结果.In this paper,we investigate the Cauchy problem for the 3D-incompressible Navier-Stokes E- quations with damping term：│u│β-1u（β≥1）. Under some general conditions,by using Holder ine- quality and some properties of regular Lorentz spaces, we obtain the regularity of weak solutions satisfy-ing2/P＋3/P≤1,3〈q〈∞,which generalize other Corresponding resuhs. P q

关 键 词：NAVIER-STOKES方程 阻力 正规Lorentz空间 正则性 

分 类 号：O175.25[理学—数学]