NOTE ON THE PROBLEM OF MOTION OF VISCOUS FLUID AROUND A ROTATING AND TRANSLATING RIGID BODY
Keywords:Incompressible fluid , rigid body, exterior domain, estimates of pressure, leading terms, artificial boundary conditions
We consider the linearized and nonlinear systems describing the motion of incompressible flow around a rotating and translating rigid body D in the exterior domain = R3 \ D, where D R3 is open and bounded, with Lipschitz boundary. We derive the L1-estimates for the pressure and investigate the leading term for the velocity and its gradient. Moreover, we show that the velocity essentially behaves near the infinity as a constant times the first column of the fundamental solution of the Oseen system. Finally, we consider the Oseen problem in a bounded domain R := BR \ under certain artificial boundary conditions on the truncating boundary @BR, and then we compare this solution with the solution in the exterior domain to get the truncation error estimate.
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