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

Global existence theorem for the three-dimensional isentropic compressible Navier-Stokes flow in the exterior of a rotating obstacle

“…For the case with initial density having a compact support, the present authors [7] showed the local existence of a unique strong solution. For the case that the flow is restricted in a bounded domain, the present authors [8] obtained the global existence of a unique strong solution, provided that the initial data are close to some approximate solution.…”

“…In addition, α is the friction coefficient attached to the Navier-slip boundary condition (1.7) which was introduced by Navier [40]. We remark that our problem is concerning the motions of the compressible flow past a rotating rigid obstacle with angular velocity ω, and it can be deduced by using a coordinate system attached to the rotating obstacle as in [7,8,23,32].…”