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• # Artykuł - szczegóły

## Applicationes Mathematicae

2005 | 32 | 2 | 195-223

## On existence of solutions for the nonstationary Stokes system with boundary slip conditions

EN

### Abstrakty

EN
Existence of solutions for equations of the nonstationary Stokes system in a bounded domain Ω ⊂ ℝ³ is proved in a class such that velocity belongs to $W_p^{2,1}(Ω × (0,T))$, and pressure belongs to $W_p^{1,0}(Ω × (0,T))$ for p > 3. The proof is divided into three steps. First, the existence of solutions with vanishing initial data is proved in a half-space by applying the Marcinkiewicz multiplier theorem. Next, we prove the existence of weak solutions in a bounded domain and then we regularize them. Finally, the problem with nonvanishing initial data is considered.

195-223

wydano
2005

### Twórcy

autor
• Faculty of Mathematics, and Information Sciences, Warsaw University of Technology, Pl. Politechniki 1, 00-661 Warszawa, Poland