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

• 来源期刊: 偏微分方程（英文版）
• 学科: 数学
• 关键词: Compressible flow conservation laws general Navier-Stokes equation space-dimension Green's function time-asymtotic behavior.
• 年，卷（期）: 2001,（1）
• 页码范围: 43-60
• 页数: 18页
• 分类号: O175.28.
• 语种: 英文

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.