论文标题
流程结构相互作用的自由边界无关模型
A free boundary inviscid model of flow-structure interaction
论文作者
论文摘要
我们获得了描述由Euler方程建模的不可压缩的Inviscid流体相互作用的系统的局部存在和唯一性，以及由四阶双曲线PDE表示的弹性板。我们在流体初始数据上使用最佳规律性$ h^{r} $提供了存在的〜先验估计，并在$ r} $ in H^{r} $ in $ r \ r \ geQ3 $中构建系统的唯一解决方案。存在定理的一个重要特征是泰勒 - 雷利不稳定性不会发生。
We obtain the local existence and uniqueness for a system describing interaction of an incompressible inviscid fluid, modeled by the Euler equations, and an elastic plate, represented by the fourth-order hyperbolic PDE. We provide a~priori estimates for the existence with the optimal regularity $H^{r}$, for $r>2.5$, on the fluid initial data and construct a unique solution of the system for initial data $u_0\in H^{r}$ for $r\geq3$. An important feature of the existence theorem is that the Taylor-Rayleigh instability does not occur.
