Abstract
We study a coupled system of equations which appears as a suitable linearization of the model for the free motion of a rigid body in a Newtonian fluid in two space dimensions.F or this problem, we show maximal L p-regularity estimates.T he method rests on a suitable reformulation of the problem as the question of invertibility of a bounded operator on W 1, p(0, T;;ℝ3).
Mathematics Subject Classification (2000). Primary 35Q35; Secondary 74F10.
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Götze, K. (2012). Maximal L p-regularity for a 2D Fluid-Solid Interaction Problem. In: Arendt, W., Ball, J., Behrndt, J., Förster, KH., Mehrmann, V., Trunk, C. (eds) Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations. Operator Theory: Advances and Applications, vol 221. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0297-0_19
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