On the Incompressible Navier-Stokes Equations with Damping

• 作者: Wenyan Zhao Zhibo Zheng
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: INCOMPRESSIBLE NAVIER-STOKES Equation Solution MAXIMAL ATTRACTOR Limit-Behavior
• 年，卷（期）: yysxyw_2013,（4）
• 页码范围: 652-658
• 页数: 7页
• 分类号: O1

摘要

We consider dynamics system with damping, which are obtained by some transformations from the system of incompressible Navier-Stokes equations. These have similar properties to original Navier-Stokes equations the scaling invariance. Due to the presence of the damping term, conclusions are different with proving the origin of the incompressible Navier-Stokes equations and get some new conclusions. For one form of dynamics system with damping we prove the existence of solution, and get the existence of the attractors. Moreover, we discuss with limit-behavior the deformations of the Navier-Stokes equation.