We study the isentropic compressible Navier-Stokes equations with radially symmetric data in an annular domain. We first prove the global existence and regularity results on the radially symmetric weak solutions with non-negative bounded densities. Then we prove the global existence of radially symmetric strong solutions when the initial data ρ0, u0 satisfy the compatibility condition -μΔu0 - (λ + μ) ∇ div u0 + ∇(Aρ0γ) = ρ01/2g for some radially symmetric g ∈ L 2. The initial density ρ0 needs not be positive. We also prove some uniqueness results on the strong solutions.
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