Question of Existence and Uniqueness of Solution for Navier-Stokes Equation with Linear “Do-Nothing” Type Boundary Condition on the Outflow
The paper deals with the mathematical model of a flow of a viscous incompressible fluid through a 2D cascade of profiles. We consider a splited “do–nothing” type boundary condition on the outflow. The existence of a weak solution of a corresponding steady boundary value problem is known, see  and . We recall the weak formulation, the theorem on existence and we study the uniqueness of the weak solution in this paper.
KeywordsWeak Solution Weak Formulation Spatial Period Nonlinear Boundary Condition Simple Closed Curve
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