Stabilization of the 2D incompressible Euler system in an infinite strip
Hayk Nersisyan (AGM)
TL;DR
This paper demonstrates that boundary controls can stabilize any stationary solution of the 2D incompressible Euler system in an infinite strip to a desired steady state.
Contribution
It introduces a boundary control method that stabilizes the 2D Euler system in an infinite strip to any stationary solution.
Findings
Existence of boundary controls for stabilization.
Stabilization to arbitrary stationary solutions.
Control supported in a bounded boundary region.
Abstract
The paper is devoted to the study of a stabilization problem for the 2D incompressible Euler system in an infinite strip with boundary controls. We show that for any stationary solution (c, 0) of the Euler system there is a control which is supported in a given bounded part of the boundary of the strip and stabilizes the system to (c, 0).
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Taxonomy
TopicsStability and Controllability of Differential Equations · Navier-Stokes equation solutions · Differential Equations and Boundary Problems