TIME—ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR GENERAL NAVIER—STOKES EQUATIONS IN EVEN SPACE—DIMENSION

作     者：徐红梅 

作者机构：Department of Mathematics Wuhan University Wuhan 430072 China 

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

年 卷 期：2001年第14卷第1期

页      面：43-60页

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：The subject supported in part by Nationl Natural Science Foundation of China(19871065) Hua-Chen Math. Foundation 

主　　题：Navier-Stokes方程 格林函数 Cauchy问题 解 渐近性质 Laplace算子 

摘      要：We study the time-asymptotic behavior of solutions to general NavierStokes equations in even and higher than two space-dimensions. Through the pointwise estimates of the Green function of the linearized system, we obtain explicit expressions of the time-asymptotic behavior of the solutions. The result coincides with weak Huygan s principle.