Analysis of a linear fluid-structure interaction problem

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

doi:10.3934/dcds.2003.9.633

Analysis of a linear fluid-structure interaction problem

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

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

120 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 language	English
Pages (from-to)	633-650
Number of pages	18
Journal	Discrete and Continuous Dynamical Systems
Volume	9
Issue number	3
DOIs	https://doi.org/10.3934/dcds.2003.9.633
Publication status	Published - 2003 May

All Science Journal Classification (ASJC) codes

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.3934/dcds.2003.9.633

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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.",

author = "Q. Du and Gunzburger, {M. D.} and Hou, {L. S.} and J. Lee",

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AB - 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.

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Analysis of a linear fluid-structure interaction problem

Abstract

All Science Journal Classification (ASJC) codes

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