Analysis of a linear fluid-structure interaction problem

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

Research output: Contribution to journalArticle

90 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
Publication statusPublished - 2003 May 1

Fingerprint

Fluid structure interaction
Inf-sup Condition
Fluid
Weak Formulation
Divergence-free
Fluids
Energy Estimates
Stokes
Interaction
System Modeling
Weak Solution
Existence and Uniqueness

All Science Journal Classification (ASJC) codes

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

Cite this

Du, Q. ; Gunzburger, M. D. ; Hou, L. S. ; Lee, J. / Analysis of a linear fluid-structure interaction problem. In: Discrete and Continuous Dynamical Systems. 2003 ; Vol. 9, No. 3. pp. 633-650.
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Analysis of a linear fluid-structure interaction problem. / Du, Q.; Gunzburger, M. D.; Hou, L. S.; Lee, J.

In: Discrete and Continuous Dynamical Systems, Vol. 9, No. 3, 01.05.2003, p. 633-650.

Research output: Contribution to journalArticle

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