On interaction of an elastic wall with a Poiseuille type flow

• Дата: 2013
• Автори: Chueshov, I., Ryzhkova, I., Чуєшов, І., Рижкова, І.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2013
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/2410
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We study dynamics of a coupled system consisting of the $3D$ Navier-Stokes equations which is linearized near a certain Poiseuille type flow in an (unbounded) domain and a classical (possibly nonlinear) elastic plate equation for transversal displacement on a flexible flat part of the boundary. We...