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On pointwise decay of linearized stationary incompressible viscous flow around rotating and translating bodies. (English) Zbl 1231.35143
The authors consider a system arising after linearization of a model of stationary viscous incompressible flow past a translating and rotating rigid body. They derive a representation formula for the velocity field and use it to obtain pointwise decay estimates and to identify a leading term with respect to this decay. Finally a representation theorem for weak solutions of the stationary Navier-Stokes system with Oseen and rotational terms is obtained.

MSC:
35Q30 Navier-Stokes equations
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
76D05 Navier-Stokes equations for incompressible viscous fluids
35D30 Weak solutions to PDEs
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