On the $C_0$ semigroup generated by the Oseen operator around a steady flow exterior to a rotating obstacle

16 Mar 2020 Li Jingyue Miao Changxing Zheng Xiaoxin

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... (read more)

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