Initial boundary value problems for two-dimensional isentropic compressible Navier-Stokes equations with rotating effect terms

Abstract We consider the initial boundary value problem for two-dimensional isentropic compressible Navier-Stokes equations with rotating effect terms. This problem is related to the motion of the compressible viscous flow surrounding a rotating obstacle. We show the global existence and uniqueness of strong solutions with initial data close to some approximate solution, provided that the friction coefficient α attached to the Navier-slip boundary condition is small. The large time behavior of the solutions is also studied.

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