Weak Solutions of Fluid–Solid Interaction Problems

✍ Scribed by George C. Hsiao; Ralph E. Kleinman; Gary F. Roach

• Publisher: John Wiley and Sons
• Year: 2000
• Tongue: English
• Weight: 275 KB
• Volume: 218
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/1522-2616(200010)218:1<139::aid-mana139>3.0.co;2-s

✦ Synopsis

This paper is concerned with various variational formulations for the fluid -solid interaction problems. The basic approach here is a coupling of field and boundary integral equation methods. In particular, Gårding's inequalities are established in appropriate Sobolev spaces for all the formulations. Existence and uniqueness results of the corresponding weak solutions are given under suitable assumptions.