论文标题
局部无效的液体 - 刚性身体相互作用问题与Navier滑动边界条件的可控性
Local null controllability of a fluid-rigid body interaction problem with Navier slip boundary conditions
论文作者
论文摘要
这项工作的目的是通过使用位于流体中的分布式控件来显示流体固体相互作用系统的局部无效可控性。流体是由具有Navier滑动边界条件的不可压缩的Navier-Stokes系统建模的，刚体由牛顿法律支配。我们的主要结果使我们可以将流体的速度和结构的速度驱动到0，并且可以准确控制刚体的位置。一种重要的成分是针对具有Navier边界条件的线性液体体系系统的新的Carleman估计值。这项工作是在不对刚体施加任何几何条件的情况下完成的。
The aim of this work is to show the local null controllability of a fluid-solid interaction system by using a distributed control located in the fluid. The fluid is modeled by the incompressible Navier-Stokes system with Navier slip boundary conditions and the rigid body is governed by the Newton laws. Our main result yields that we can drive the velocities of the fluid and of the structure to 0 and we can control exactly the position of the rigid body. One important ingredient consists in a new Carleman estimate for a linear fluid-rigid body system with Navier boundary conditions. This work is done without imposing any geometrical conditions on the rigid body.
