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arXiv · 1810.01168

On the 2D `viscous incompressible fluid + rigid body' system with Navier conditions and unbounded energy

Marco Bravin
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Abstract

In this paper we consider the motion of a rigid body in a viscous incompressible fluid when some Navier slip conditions are prescribed on the body's boundary. The whole `viscous incompressible fluid + rigid body' system is assumed to occupy the full plane $\R^{2}$. We prove the existence of global-in-time weak solutions with constant non-zero circulation at infinity.

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Marco Bravin. 2018-10-02. On the 2D `viscous incompressible fluid + rigid body' system with Navier conditions and unbounded energy. https://arxiv.org/abs/1810.01168

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