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 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.
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Subject (DDC): | 510 Mathematics |
Link to License: | Attribution 4.0 International |
Bibliography of Konstanz: | Yes |
Refereed: | Yes |
DENK, Robert, Jürgen SAAL, 2020. Lp-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={Lp-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} }
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