Remarks on Exponential Stability of Solutions for the Compressible p-th Power Newtonian Fluid with Large Initial Data

• 来源期刊: 偏微分方程（英文版）
• 学科: 数学
• 关键词: Newtonian fluid global existence asymptotic behavior exponential stability
• 年，卷（期）: 2016,（4）
• 页码范围: 286-301
• 页数: 16页
• 分类号: O175.29
• 语种: 英文
• DOI: 10.4208/jpde.v29.n4.3

摘要

In this paper,we establish the exponential stability of the global spherically and cylindrically symmetric solutions in Hi (i =1,2,4) for the p-th power Newtonian fluid in multi-dimension with large initial data.The key point is that the smallness of initial data is not needed if the initial data are cylindrically symmetric.