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Blow up and grazing collision in viscous fluid solid interaction systems |
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| Authors: | Matthieu Hillairet Takéo Takahashi |
| Institution: | 1. IMT, Université Paul Sabatier Toulouse 3, 31062 Toulouse Cedex 9, France;2. Institut Élie Cartan, UMR 7502, INRIA, Nancy-Université, CNRS, POB 239, Vandœuvre-lès-Nancy 54506, France;3. Team-project CORIDA, INRIA Nancy – Grand Est, France |
| Abstract: | We investigate qualitative properties of strong solutions to a classical system describing the fall of a rigid ball under the action of gravity inside a bounded cavity filled with a viscous incompressible fluid. We prove contact between the ball and the boundary of the cavity implies blow up of strong solutions and such a contact has to occur in finite time under symmetry assumptions on the initial data. |
| Keywords: | 35R35 76D03 76D05 |
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