Local feedback regularization of three-dimensional Navier-Stokes equations on bounded domains

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Title: Local feedback regularization of three-dimensional Navier-Stokes equations on bounded domains
Author: Balogh, Andras
Abstract: The specific problem we consider here is inspired by recent advances in the control of nonlinear distributed parameter systems and its possible applications to hydrodynamics . The main objective is to investigate the extent to which the 3 -dimensional Navier -Stokes system can be regularized using a particular , physically motivated , feedback control law . The specific choice of feedback mechanism is motivated by a work of O .A . Ladyzhenskaya [7] in which she introduces a modification of the Navier -Stokes equation on a three dimensional bounded domain and shows that the resulting perturbed system possesses global dynamics and , furthermore , this dynamics is stable . It is in this sense that we understand the system to be regularized .
URI: http : / /hdl .handle .net /2346 /20417
Date: 1997-05

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Local feedback regularization of three-dimensional Navier-Stokes equations on bounded domains. Doctoral dissertation, Texas Tech University. Available electronically from http : / /hdl .handle .net /2346 /20417 .

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