Existence and uniqueness result for a fluid–structure–interaction evolution problem in an unbounded 2D channel

被引：0
作者：
Clara Patriarca
机构：
[1] Politecnico di Milano,Dipartimento di Matematica
来源：
Nonlinear Differential Equations and Applications NoDEA | 2022年 / 29卷
关键词：
Poiseuille flow; Lift force; Weak solutions; 35Q30; 35A01;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In an unbounded 2D channel, we consider the vertical displacement of a rectangular obstacle in a regime of small flux for the incoming flow field, modelling the interaction between the cross-section of the deck of a suspension bridge and the wind. We prove an existence and uniqueness result for a fluid–structure-interaction evolution problem set in this channel, where at infinity the velocity field of the fluid has a Poiseuille flow profile. We introduce a suitable definition of weak solutions and we make use of a penalty method. In order to prevent the obstacle from going excessively far from the equilibrium position and colliding with the boundary of the channel, we introduce a strong force in the differential equation governing the motion of the rigid body and we find a unique global-in-time solution.
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