CONCERNING TIME-PERIODIC SOLUTIONS OF THE NAVIER-STOKES EQUATIONS IN CYLINDRICAL DOMAINS UNDER NAVIER BOUNDARY CONDITIONS

作     者：H. Beirāo da Veiga 

作者机构：Department of Applied Mathematics The University of Pisa Italy 

出 版 物：《Journal of Partial Differential Equations》 (偏微分方程（英文版）)

年 卷 期：2006年第19卷第4期

页      面：369-376页

学科分类：07[理学] 080103[工学-流体力学] 08[工学] 080104[工学-工程力学] 070104[理学-应用数学] 081502[工学-水力学及河流动力学] 0815[工学-水利工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 

主　　题：Flows in pipes time-periodic poiseuiUe slip boundary conditions. 

摘      要：The problem of the existence of time-periodic flows in infinite cylindrical pipes in correspondence to any given, time-periodic, total flux, was solved only quite recently in [1]. In this last reference we solved the above problem for flows under the non-slip boundary condition as a corollary of a more general result. Here we want to show that the abstract theorem proved in [1] applies as well to the solutions of the well known slip （or Navier） boundary condition （1.7） or to the mixed boundary condition （1.14）. Actually, the argument applies for solutions of many other boundary value problems. This paper is a continuation of reference [1], to which the reader is referred for some notation and results.