Note on evolutionary free piston problem for Stokes equations with slip boundary conditions (CROSBI ID 186874)
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Podaci o odgovornosti
Muha, Boris ; Tutek, Zvonimir
engleski
Note on evolutionary free piston problem for Stokes equations with slip boundary conditions
In this paper we study a free boundary fluid-rigid body interaction problem, the free piston problem. We consider an evolutionary incompressible viscous fluid flow through a junction of two pipes. Inside the "vertical" pipe there is a heavy piston which can freely slide along the pipe. On the lateral boundary of the "vertical" pipe we prescribe Navier's slip boundary conditions. We prove the existence of a local in time weak solution. Furthermore, we show that the obtained solution is a strong solution.
fluid-rigid body interaction; moving boundary; Navier-Stokes equations; weak solution
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Podaci o izdanju
13 (4)
2014.
1629-1639
objavljeno
1534-0392
10.3934/cpaa.2014.13.1629