Details
| Original language | English |
|---|---|
| Article number | 34 |
| Journal | Journal of Mathematical Fluid Mechanics |
| Volume | 21 |
| Issue number | 3 |
| Publication status | Published - 7 Jun 2019 |
Abstract
Keywords
- Differentiability of solutions with respect to problem data, Fluid–structure interactions
ASJC Scopus subject areas
- Mathematics(all)
- Mathematical Physics
- Physics and Astronomy(all)
- Condensed Matter Physics
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Journal of Mathematical Fluid Mechanics, Vol. 21, No. 3, 34, 07.06.2019.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On the Differentiability of Fluid–Structure Interaction Problems with Respect to the Problem Data
AU - Wick, Thomas
AU - Wollner, Winnifried
N1 - Publisher Copyright: © 2019, Springer Nature Switzerland AG. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.
PY - 2019/6/7
Y1 - 2019/6/7
N2 - A coupled system of stationary fluid–structure equations in an arbitrary Lagrangian–Eulerian framework is considered in this work. Existence results presented in the literature are extended to show differentiability of the solutions to a stationary fluid–structure interaction problem with respect to the given data, volume forces and boundary values, provided a small data assumption holds. Numerical experiments are used to substantiate the theoretical findings.
AB - A coupled system of stationary fluid–structure equations in an arbitrary Lagrangian–Eulerian framework is considered in this work. Existence results presented in the literature are extended to show differentiability of the solutions to a stationary fluid–structure interaction problem with respect to the given data, volume forces and boundary values, provided a small data assumption holds. Numerical experiments are used to substantiate the theoretical findings.
KW - Differentiability of solutions with respect to problem data
KW - Fluid–structure interactions
UR - http://www.scopus.com/inward/record.url?scp=85066879812&partnerID=8YFLogxK
U2 - 10.1007/s00021-019-0439-0
DO - 10.1007/s00021-019-0439-0
M3 - Article
AN - SCOPUS:85066879812
VL - 21
JO - Journal of Mathematical Fluid Mechanics
JF - Journal of Mathematical Fluid Mechanics
SN - 1422-6928
IS - 3
M1 - 34
ER -