Collisions in Three-Dimensional Fluid Structure Interaction Problems | Zendy

Matthieu Hillairet | Zendy; Takéo Takahashi | Zendy

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Collisions in Three-Dimensional Fluid Structure Interaction Problems

Author(s) -

Matthieu Hillairet,

Takéo Takahashi

Publication year - 2009

Publication title -

siam journal on mathematical analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.882

H-Index - 92

eISSN - 1095-7154

pISSN - 0036-1410

DOI - 10.1137/080716074

Subject(s) - ball (mathematics) , mathematics , compressibility , mathematical analysis , viscous liquid , partial differential equation , plane (geometry) , equations of motion , classical mechanics , geometry , mechanics , physics

International audienceThis paper deals with the system composed by a rigid ball moving into a viscous incompressible fluid, over a fixed horizontal plane. The equations of motion for the fluid are the Navier-Stokes equations and the equations for the motion of the rigid ball are obtained by applying Newton's laws. We show that for any weak solutions of the corresponding system satisfying the energy inequality, the rigid ball never touches the plane

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