scholarly journals Global existence of strong solution for the Cucker–Smale–Navier–Stokes system

2014 ◽  
Vol 257 (6) ◽  
pp. 2225-2255 ◽  
Author(s):  
Hyeong-Ohk Bae ◽  
Young-Pil Choi ◽  
Seung-Yeal Ha ◽  
Moon-Jin Kang
Keyword(s):  
Global Existence ◽  
Strong Solution ◽  
Stokes System ◽  
Navier Stokes

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

2020 ◽  
Author(s):  
Sarka Necasova ◽  
Mythily Ramaswamy ◽  
Arnab Roy ◽  
Anja Schlomerkemper
Keyword(s):  
Angular Momentum ◽  
Weak Solution ◽  
Global Existence ◽  
Viscous Fluid ◽  
Rigid Body ◽  
Incompressible Fluid ◽  
Stokes System ◽  
Navier Stokes ◽  
Navier Condition ◽  
Whole Space

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.

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