Oseen coupling method for the exterior flow. Part II: Well-posedness analysis

✍ Scribed by Yinnian He; Kaitai Li; Kam-Moon Liu

• Publisher: John Wiley and Sons
• Year: 2004
• Tongue: English
• Weight: 157 KB
• Volume: 27
• Category: Article
• ISSN: 0170-4214
• DOI: 10.1002/mma.536

✦ Synopsis

Abstract

In this paper, we recall the Oseen coupling method for solving the exterior unsteady Navier–Stokes equations with the non‐homogeneous boundary conditions. Moreover, we derive the coupling variational formulation of the Oseen coupling problem by using of the integral representations of the solution of the Oseen equations at an infinity domain. Finally, we provide some properties of the integral operators over the artificial boundary and the well‐posedness of the coupling variational formulation. Copyright © 2004 John Wiley & Sons, Ltd.