Variational Inequalities of Navier--Stokes Type with Time Dependent Constraints

Maria Gokieli, Nobuyuki Kenmochi, Marek Niezgódka

We consider a class of parabolic variational inequalities with time dependent obstacle of the form $|\mathbf{u}(x,t)|\le p(x,t)$, where $\mathbf{u}$ is the velocity fiel…