二维部分耗散Navier-Stokes方程解的最优代数衰减性  

Optimal algebraic decay of solutions for 2D Navier-Stokes equations with partial dissipation

作　　者：张昭云[1] 谢倩倩 贾艳[1] 董柏青[1] ZHANG Zhaoyun;XIE Qianqian;JIA Yan;DONG Boqing(School of Mathematical Sciences,Anhui University,Hefei 230601,China)

机构地区：[1]安徽大学数学科学学院,安徽合肥230601

出　　处：《中国科学技术大学学报》2018年第5期361-366,共6页JUSTC

基　　金：国家自然科学基金(11271019;11571240)资助

摘　　要：主要讨论部分耗散二维Navier-Stokes方程解的时间衰减性.利用改进的Fourier分解方法和归纳方法,得到了方程解及其高阶导数的最优代数衰减率.The optimal algebraic decay of solutions for two-dimensional Navier-Stokes equation with partial dissipation was studied. By developing the classic Fourier splitting methods together with inductive methods, the higher-order derivatives of solutions in the optimal algebraic rates was obtained.

关 键 词：NAVIER-STOKES方程 部分耗散 Fourier分解方法 最优代数衰减 

分 类 号：O175.2[理学—数学]