Hoffmann, K.-H.; Starovoitov, V. N. On a motion of a solid body in a viscous fluid. Two-dimensional case. (English) Zbl 0966.76016 Adv. Math. Sci. Appl. 9, No. 2, 633-648 (1999). Summary: We investigate the two-dimensional problem on the motion of a rigid a body in bounded container filled by viscous fluid. The main assumption making possible to prove the global existence of a generalized solution is that the boundaries of the body and container are curves of the class \(C^2\). We show that in this case the body impacts on the wall with zero velocity, and does not move during the touching. Cited in 61 Documents MSC: 76D03 Existence, uniqueness, and regularity theory for incompressible viscous fluids 76D05 Navier-Stokes equations for incompressible viscous fluids 70E99 Dynamics of a rigid body and of multibody systems Keywords:global existence of generalized solution; rigid body; bounded container PDFBibTeX XMLCite \textit{K. H. Hoffmann} and \textit{V. N. Starovoitov}, Adv. Math. Sci. Appl. 9, No. 2, 633--648 (1999; Zbl 0966.76016)