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