On linearization principle for Navier-Stokes system with dynamic slip boundary condition
On linearization principle for Navier-Stokes system with dynamic slip boundary condition
We consider incompressible Navier-Stokes equations in a bounded 3D regular domain, coupled with the so-called dynamic boundary condition. We rigorously establish the principle of linearized stability. Namely, given a smooth stationary state, we prove that the linearized equation has a complete basis of generalized eigenfunctions, and that the non-linear stability …