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| In the talk I will review some recent results on the study of the time-periodic incompressible $3D$-Navier--Stokes system describing the flow around a rotating rigid body. The existence in weighted $\bfL^q$-spaces of very weak solutions will be discussed and treated, for the three modified steady models, Stokes, Oseen and Navier--Stokes. In the nonlinear case, we need weighted variants of the embedding of homogeneous Sobolev spaces into Lebesgue spaces. My talk is based on joint works with S. Necasova. and S. Kracmar. |
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