Internal stabilization of the Oseen-Stokes equations by Stratonovich noise
Viorel Barbu
TL;DR
This paper introduces a novel internal Stratonovich noise feedback controller that stabilizes steady state solutions of the Oseen-Stokes equations exponentially, offering a new approach to fluid dynamics control.
Contribution
It presents a new method for stabilizing Oseen-Stokes equations using internal Stratonovich noise feedback, which was not previously explored.
Findings
Exponential stabilization of steady states achieved
Effective internal noise feedback control designed
Potential applications in fluid flow regulation
Abstract
One designs an internal Stratonovich noise feedback controller which exponentially stabilizes the staedy state solutions to Oseen-Stokes equations.
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Taxonomy
TopicsStability and Controllability of Differential Equations · Stochastic processes and financial applications · Meteorological Phenomena and Simulations