A NOTE ON L2 DECAY OF LADYZHENSKAYA MODEL

• 来源期刊: 偏微分方程（英文版）
• 学科: 数学
• 关键词: Ladyzhenskaya model L2 decay spectral decomposition.
• 年，卷（期）: 2006,（4）
• 页码范围: 304-318
• 页数: 15页
• 分类号: O175.29
• 语种: 英文

摘要

This paper is concerned with time decay problem of Ladyzhenskaya model governed incompressible viscous fluid motion with the dissipative potential having p-growth (p ≥ 3) in R3. With the aid of the spectral decomposition of the Stokes operator and Lp - Lq estimates, it is rigorously proved that the Leray-Hopf type weak solutions decay in L2(R3) norm like t-n/2(1/r-1/2) under the initial data u0 ∈L2(R3)∩Lr(R3)for1≤r＜2. Moreover, the explicit error estimates of the difference between Ladyzhenskaya model and Navier-Stokes flow are also investigated.