We study the existence of strong solutions to a 2d fluid-structure system. The fluid is modelled by the incompressible Navier–Stokes equations. The structure represents a steering gear and is described by two parameters corresponding to angles of deformation. Its equations are derived from a virtual work principle. The global domain represents a wind tunnel and imposes mixed boundary conditions to the fluid velocity. Our method reposes on the analysis of the linearized system. Under a compatibility condition on the initial data, we can guarantee local existence in time of strong solutions to the fluid-structure problem.
Accepté le :
Publié le :
DOI : 10.1051/m2an/2019059
Mots-clés : Strong solutions, fluid-structure interaction, Navier–Stokes equations, deformable structure
@article{M2AN_2020__54_1_301_0,
author = {Delay, Guillaume},
title = {Existence of strong solutions to a fluid-structure system with a structure given by a finite number of parameters},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
pages = {301--333},
publisher = {EDP-Sciences},
volume = {54},
number = {1},
year = {2020},
doi = {10.1051/m2an/2019059},
mrnumber = {4058209},
language = {en},
url = {http://www.numdam.org/articles/10.1051/m2an/2019059/}
}
TY - JOUR AU - Delay, Guillaume TI - Existence of strong solutions to a fluid-structure system with a structure given by a finite number of parameters JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2020 SP - 301 EP - 333 VL - 54 IS - 1 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/m2an/2019059/ DO - 10.1051/m2an/2019059 LA - en ID - M2AN_2020__54_1_301_0 ER -
%0 Journal Article %A Delay, Guillaume %T Existence of strong solutions to a fluid-structure system with a structure given by a finite number of parameters %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2020 %P 301-333 %V 54 %N 1 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/m2an/2019059/ %R 10.1051/m2an/2019059 %G en %F M2AN_2020__54_1_301_0
Delay, Guillaume. Existence of strong solutions to a fluid-structure system with a structure given by a finite number of parameters. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 54 (2020) no. 1, pp. 301-333. doi : 10.1051/m2an/2019059. http://www.numdam.org/articles/10.1051/m2an/2019059/
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