A Pressure Associated with a Weak Solution to the Navier-Stokes Equations with Navier's Boundary Condition

Jiri Neustupa, Sarka Necasova, Petr Kucera

We show that if u is a weak solution to the Navier-Stokes initial-boundary value problem with Navier's slip boundary conditions in $Q_T:=\Omega \times (0,T)$, where $\Omega$ is a domain in $R^…