perfect slip boundary conditions
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2013 ◽  
Vol 11 (7) ◽  
Author(s):  
Petr Kaplický ◽  
Jakub Tichý

AbstractWe investigate boundary regularity of solutions of generalized Stokes equations. The problem is complemented with perfect slip boundary conditions and we assume that the nonlinear elliptic operator satisfies non-standard ϕ-growth conditions. We show the existence of second derivatives of velocity and their optimal regularity.


2011 ◽  
Vol 21 (04) ◽  
pp. 667-691 ◽  
Author(s):  
MATTHIEU BONNIVARD

This paper studies the stability of the trajectories of self-propelled bodies immersed in a fluid at low Reynolds number, with respect to their dynamic shape deformation. We consider both adherence and perfect slip boundary conditions on the moving body. Using shape derivative arguments in association with recent higher order regularity results for the Bogovskiĭ operator, we bring the shape stability question to a finite dimension dynamical system analysis.


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