Small data global existence for a fluid-structure model
Small data global existence for a fluid-structure model
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DOI：
10.1088/1361-6544/aa4ec4
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发表时间：
2017-01
期刊：
影响因子：
1.7
通讯作者：
M. Ignatova;I. Kukavica;I. Lasiecka;A. Tuffaha
中科院分区：
文献类型：
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作者：
M. Ignatova;I. Kukavica;I. Lasiecka;A. Tuffaha
我们解决系统的偏微分方程建模运动的弹性体内的不可压缩流体。流体采用不可压缩Navier-Stokes方程，结构采用带内阻尼的阻尼波动方程。在我们以前的论文中考虑的附加边界稳定γ不再是必要的。在适当的Sobolev空间中，我们证明了小初值解的整体存在性和指数衰减性。
We address the system of partial differential equations modeling motion of an elastic body inside an incompressible fluid. The fluid is modeled by the incompressible Navier–Stokes equations while the structure is represented by the damped wave equation with interior damping. The additional boundary stabilization γ, considered in our previous paper, is no longer necessary. We prove the global existence and exponential decay of solutions for small initial data in a suitable Sobolev space.