Self-propelled motion of a rigid body inside a density dependent incompressible fluid

Š. Nečasová¹ ; M. Ramaswamy² ; A. Roy¹ ; A. Schlömerkemper³

¹ Institute of Mathematics, Czech Academy of Sciences, Žitná 25, 11567 Praha 1, Czech Republic.
² Chennai Mathematical Institute, H1, SITCOT IT Park, Siruseri 603103, India.
³ Institute of Mathematics, University of Würzburg, Emil-Fischer-Str. 40, 97074 Würzburg, Germany.

Mathematical modelling of natural phenomena, Tome 16 (2021), article no. 9

Résumé

This paper is devoted to the existence of a weak solution to a system describing a self-propelled motion of a rigid body in a viscous fluid in the whole ℝ3. The fluid is modelled by the incompressible nonhomogeneous Navier-Stokes system with a nonnegative density. The motion of the rigid body is described by the balance of linear and angular momentum. We consider the case where slip is allowed at the fluid-solid interface through Navier condition and prove the global existence of a weak solution.

Détail

DOI : 10.1051/mmnp/2020052

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