### 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 L^{2} 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 |

Publication status | Published - 2003 May 1 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Analysis
- Discrete Mathematics and Combinatorics
- Applied Mathematics

### Cite this

*Discrete and Continuous Dynamical Systems*,

*9*(3), 633-650.

}

*Discrete and Continuous Dynamical Systems*, vol. 9, no. 3, pp. 633-650.

**Analysis of a linear fluid-structure interaction problem.** / Du, Q.; Gunzburger, M. D.; Hou, L. S.; Lee, J.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Analysis of a linear fluid-structure interaction problem

AU - Du, Q.

AU - Gunzburger, M. D.

AU - Hou, L. S.

AU - Lee, J.

PY - 2003/5/1

Y1 - 2003/5/1

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=0037564097&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037564097&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0037564097

VL - 9

SP - 633

EP - 650

JO - Discrete and Continuous Dynamical Systems

JF - Discrete and Continuous Dynamical Systems

SN - 1078-0947

IS - 3

ER -