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| Title
| - Stabilization of the non-homogeneous Navier-Stokes equations in a 2d channel
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| Abstract
| - In this article, we study the local boundary stabilization of the non-homogeneous Navier-Stokes equations in a 2d channel around Poiseuille flow which is a stationary solution for the system under consideration. The feedback control operator we construct has finite dimensional range. The homogeneous Navier-Stokes equations are of parabolic nature and the stabilization result for such system is well studied in the literature. In the present article we prove a stabilization result for non-homogeneous Navier-Stokes equations which involves coupled parabolic and hyperbolic dynamics by using only one boundary control for the parabolic part.
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| - © The author. Published by EDP Sciences, SMAI 2019
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| - The authors. Published by EDP Sciences, SMAI
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