论文标题
Oseen操作员在稳定流动的外部向旋转障碍物的稳定流动产生的$ C_0 $ semigroup上
On the $C_0$ semigroup generated by the Oseen operator around a steady flow exterior to a rotating obstacle
论文作者
论文摘要
我们考虑了不可压缩的粘性流体的运动，该运动充满了整个空间，以旋转和翻译障碍物移动。我们表明，该障碍物外部稳定流动的Stokes操作员在$ l^p $空间中产生$ C_0 $ -Semigroup，然后开发一系列$ l^p $ - $ l^Q $估计该半群。作为应用程序，当$ l^3 $中的初始干扰和稳定流量足够小时，我们给出了如此稳定的流量的稳定性。
We consider the motion of an incompressible viscous fluid filling the whole space exterior to a moving with rotation and translation obstacle. We show that the Stokes operator around the steady flow in the exterior of this obstacle generates a $C_0$-semigroup in $L^p$ space and then develop a series of $L^p$-$L^q$ estimates of such semigroup. As an application, we give out the stability of such steady flow when the initial disturbance in $L^3$ and the steady flow are sufficiently small.
