Lp-theory for a fluid–structure interaction model

Denk, Robert; Saal, Jürgen

doi:10.1007/s00033-020-01387-5

L^p-theory for a fluid–structure interaction model

Type of Publication:	Journal article
Publication status:	Published
URI (citable link):	http://nbn-resolving.de/urn:nbn:de:bsz:352-2-pj0v8wb1e2co0
Author:	Denk, Robert; Saal, Jürgen
Year of publication:	2020
Published in:	Zeitschrift für Angewandte Mathematik und Physik (ZAMP) ; 71 (2020), 5. - 158. - Birkhäuser. - ISSN 0044-2275. - eISSN 1420-9039
DOI (citable link):	https://dx.doi.org/10.1007/s00033-020-01387-5
Summary:	We consider a fluid–structure interaction model for an incompressible fluid where the elastic response of the free boundary is given by a damped Kirchhoff plate model. Utilizing the Newton polygon approach, we first prove maximal regularity in L^p-Sobolev spaces for a linearized version. Based on this, we show existence and uniqueness of the strong solution of the nonlinear system for small data.
Subject (DDC):	510 Mathematics
Link to License:	Attribution 4.0 International
Bibliography of Konstanz:	Yes
Refereed:	Yes

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DENK, Robert, Jürgen SAAL, 2020. L^p-theory for a fluid–structure interaction model. In: Zeitschrift für Angewandte Mathematik und Physik (ZAMP). Birkhäuser. 71(5), 158. ISSN 0044-2275. eISSN 1420-9039. Available under: doi: 10.1007/s00033-020-01387-5

@article{Denk2020-10theor-51104, title={L^p-theory for a fluid–structure interaction model}, year={2020}, doi={10.1007/s00033-020-01387-5}, number={5}, volume={71}, issn={0044-2275}, journal={Zeitschrift für Angewandte Mathematik und Physik (ZAMP)}, author={Denk, Robert and Saal, Jürgen}, note={Article Number: 158} }

Denk, Robert We consider a fluid–structure interaction model for an incompressible fluid where the elastic response of the free boundary is given by a damped Kirchhoff plate model. Utilizing the Newton polygon approach, we first prove maximal regularity in Lp-Sobolev spaces for a linearized version. Based on this, we show existence and uniqueness of the strong solution of the nonlinear system for small data. Denk, Robert 2020-10 Attribution 4.0 International Saal, Jürgen 2020-09-29T11:49:28Z 2020-09-29T11:49:28Z Saal, Jürgen eng Lp-theory for a fluid–structure interaction model