Analysis of a linear fluid-structure interaction problem

Q. Du, M. D. Gunzburger, L. S. Hou, J. Lee

Research output: Contribution to journalArticlepeer-review

104 Citations (Scopus)

Abstract

A time-dependent system modeling the interaction between a Stokes fluid and an elastic structure is studied. A divergence-free weak formulation is introduced which does not involve the fluid pressure field. The existence and uniqueness of a weak solution is proved. Strong energy estimates are derived under additional assumptions on the data. The existence of an L2 integrable pressure field is established after the verification of an inf-sup condition.

Original languageEnglish
Pages (from-to)633-650
Number of pages18
JournalDiscrete and Continuous Dynamical Systems
Volume9
Issue number3
DOIs
Publication statusPublished - 2003 May

All Science Journal Classification (ASJC) codes

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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