Asymmetric equilibrium configurations of a body immersed in a 2d laminar flow
نویسندگان
چکیده
Abstract We study the equilibrium configurations of a possibly asymmetric fluid–structure interaction problem. The fluid is confined in bounded planar channel and governed by stationary Navier–Stokes equations with laminar inflow outflow. A body immersed subject to both lift force from some external elastic force. Asymmetry, which motivated natural models, non-vanishing velocity on boundary require introduction suitable assumptions prevent collisions boundary. With these at hand, we prove that for sufficiently small inflow/outflow there exists unique configuration. Only if inflow, outflow are all symmetric, configuration also symmetric. model application discussed.
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ژورنال
عنوان ژورنال: Zeitschrift für Angewandte Mathematik und Physik
سال: 2023
ISSN: ['1420-9039', '0044-2275']
DOI: https://doi.org/10.1007/s00033-023-02061-2