On the existence of solutions for the nonstationary Stokes system with slip boundary conditions in general Sobolev-Slobodetskii and Besov spaces
Wisam Alame · Banach Center Publications · 2005
We prove the existence of solutions to the evolutionary Stokes system in a bounded domain $\Omega\subset\mathbb R^3$. The main result shows that the velocity belongs either to $W_p^{2s+2,s+1}(\Omega^T)$ or to $B_{p,q}^{2s+2,s+1}(\Omega^T)$ with $p>3$ an