On the existence and the uniqueness of the solution to a fluid-structure interaction problem

Daniele Boffi; Lucia Gastaldi

doi:10.1016/j.jde.2021.01.019

On the existence and the uniqueness of the solution to a fluid-structure interaction problem

Daniele Boffi, Lucia Gastaldi

Computer, Electrical and Mathematical Sciences and Engineering

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

6 Scopus citations

Abstract

In this paper we consider the linearized version of a system of partial differential equations arising from a fluid-structure interaction model. We prove the existence and the uniqueness of the solution under natural regularity assumptions.

Original language	English (US)
Pages (from-to)	136-161
Number of pages	26
Journal	Journal of Differential Equations
Volume	279
DOIs	https://doi.org/10.1016/j.jde.2021.01.019
State	Published - Jan 25 2021

Bibliographical note

KAUST Repository Item: Exported on 2021-02-03
Acknowledgements: The authors are members of the INdAM Research group GNCS and their research is partially supported by IMATI/CNR and by PRIN/MIUR, grant no. 201752HKH8_002.

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10.1016/j.jde.2021.01.019

https://repository.kaust.edu.sa/bitstream/10754/663805/1/Preprintfile1.pdf

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title = "On the existence and the uniqueness of the solution to a fluid-structure interaction problem",

abstract = "In this paper we consider the linearized version of a system of partial differential equations arising from a fluid-structure interaction model. We prove the existence and the uniqueness of the solution under natural regularity assumptions.",

author = "Daniele Boffi and Lucia Gastaldi",

note = "KAUST Repository Item: Exported on 2021-02-03 Acknowledgements: The authors are members of the INdAM Research group GNCS and their research is partially supported by IMATI/CNR and by PRIN/MIUR, grant no. 201752HKH8_002.",

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AU - Gastaldi, Lucia

N1 - KAUST Repository Item: Exported on 2021-02-03 Acknowledgements: The authors are members of the INdAM Research group GNCS and their research is partially supported by IMATI/CNR and by PRIN/MIUR, grant no. 201752HKH8_002.

PY - 2021/1/25

Y1 - 2021/1/25

N2 - In this paper we consider the linearized version of a system of partial differential equations arising from a fluid-structure interaction model. We prove the existence and the uniqueness of the solution under natural regularity assumptions.

AB - In this paper we consider the linearized version of a system of partial differential equations arising from a fluid-structure interaction model. We prove the existence and the uniqueness of the solution under natural regularity assumptions.

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UR - https://linkinghub.elsevier.com/retrieve/pii/S0022039621000322

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DO - 10.1016/j.jde.2021.01.019

M3 - Article

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VL - 279

SP - 136

EP - 161

JO - Journal of Differential Equations

JF - Journal of Differential Equations

ER -

On the existence and the uniqueness of the solution to a fluid-structure interaction problem

Abstract

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