Dynamics of a rigid body with an ellipsoidal cavity filled with viscous fluid

2017 ◽  
Vol 95 ◽  
pp. 42-46 ◽  
Author(s):  
S.M. Ramodanov ◽  
V.V. Sidorenko
Author(s):  
Sarka Necasova ◽  
Mythily Ramaswamy ◽  
Arnab Roy ◽  
Anja Schlomerkemper

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 space. 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.


2011 ◽  
Vol 28 (1) ◽  
pp. 015005 ◽  
Author(s):  
Carlos Conca ◽  
Erica L Schwindt ◽  
Takéo Takahashi
Keyword(s):  

2011 ◽  
Vol 90 (1) ◽  
pp. 59-66 ◽  
Author(s):  
Eduard Feireisl ◽  
Šárka Nečasová

Author(s):  
Carlos Conca ◽  
Jorge San Martín H. ◽  
Marius Tucsnak
Keyword(s):  

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