A LEADING TERM FOR THE VELOCITY OF STATIONARY VISCOUS INCOMPRESSIBLE FLOW AROUND A RIGID BODY PERFORMING A ROTATION AND A TRANSLATION

作者：Deuring Paul; Kracmar Stanislav; Necasova Sarka^*

来源：Discrete and Continuous Dynamical Systems, 2017, 37(3): 1389-1409.

DOI：10.3934/deds.2017057

• Exterior domain
• viscous incompressible flow
• rotating body
• fundamental solution
• asymptotic expansion
• Navier-Stokes system

We consider the Navier-Stokes system with Oseen and rotational terms describing the stationary flow of a viscous incompressible fluid around a rigid body moving at a constant velocity and rotating at a constant angular velocity. In a previous paper, we proved a representation formula for Leray solutions of this system. Here the representation formula is used as starting point for splitting the velocity into a leading term and a remainder, and for establishing pointwise decay estimates of the remainder and its gradient.

• 出版日期2017-3