Injection-suction control for Navier-Stokes equations with slippage
Analysis of PDEs
2017-06-20 v1
Abstract
We consider a velocity tracking problem for the Navier-Stokes equations in a 2D-bounded domain. The control acts on the boundary through a 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.
Cite
@article{arxiv.1706.05531,
title = {Injection-suction control for Navier-Stokes equations with slippage},
author = {Nikolai V. Chemetov and Fernanda Cipriano},
journal= {arXiv preprint arXiv:1706.05531},
year = {2017}
}
Comments
23 pages