论文标题
双曲线发展和流体结构相互作用的变分方法
A variational approach to hyperbolic evolutions and fluid-structure interactions
论文作者
论文摘要
我们引入了两个时间尺度的方案，该方案允许将运动最小化的方法扩展到双曲线问题。该方法用于显示非线性，Visco弹性，$ n $二维的体积固体之间的流体结构相互作用问题的存在，由双曲线进化和由（$ n $ dibensional）navokes navokes exokes等方程的不可压缩的流体支配，用于$ n \ neveq naveier-navokes 2 $。
We introduce a two time-scale scheme which allows to extend the method of minimizing movements to hyperbolic problems. This method is used to show the existence of weak solutions to a fluid-structure interaction problem between a nonlinear, visco-elastic, $n$-dimensional bulk solid governed by a hyperbolic evolution and an incompressible fluid governed by the ($n$-dimensional) Navier-Stokes equations for $n\geq 2$.
