Existence and uniqueness for Navier Stokes equations in a cascade
of profiles with linear separated boundary condition on the outflow

Tomas Neustupa

The paper is concerned with the theoretical analysis of the model
of incompressible, viscous, stationary flow through a plane
cascade of profiles. The boundary value problem for the
Navier-Stokes system is formulated in a domain representing the
exterior to an infinite row of profiles, periodically spaced in
one direction. Then the problem is reformulated in a bounded
domain of the form of one space period with suitable
boundary conditions. Specially, we study the
question of uniqueness of the weak solution of this problem for
linear boundary condition for voriticity and Bernoulli's pressure on the outflow.