Injection-suction control for two-dimensional Navier-Stokes equations with slippage

Nikolai Chemetov, Fernanda Cipriano

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


We consider a velocity tracking problem for the Navier-Stokes equations in a 2D bounded domain. The control acts on the boundary through an injection-suction device, and the flow is allowed to slip against the surface wall. We study the well-posedness of the state equations, linearized state equations, and adjoint equations. In addition, we show the existence of an optimal solution and establish the first order optimality condition.

Original languageEnglish
Pages (from-to)1253-1281
Number of pages29
JournalSIAM Journal on Control and Optimization
Issue number2
Publication statusPublished - 1 Jan 2018


  • Navier slip boundary conditions
  • Navier-Stokes equations
  • Optimal control


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