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Weak Solutions of Fluid–Solid Interaction Problems
Author(s) -
Hsiao George C.,
Kleinman Ralph E.,
Roach Gary F.
Publication year - 2000
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/1522-2616(200010)218:1<139::aid-mana139>3.0.co;2-s
Subject(s) - mathematics , uniqueness , sobolev space , weak solution , mathematical analysis , weak formulation , variational inequality , coupling (piping) , boundary value problem , boundary (topology) , calculus (dental) , pure mathematics , mechanical engineering , medicine , dentistry , engineering
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.