Method of Artificial Control and the 3D Navier-Stokes System

Michael Z. Zgurovsky () and Pavlo O. Kasyanov ()
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Michael Z. Zgurovsky: National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”
Pavlo O. Kasyanov: National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”

A chapter in Optimization Methods and Applications, 2017, pp 585-600 from Springer

Abstract: Abstract In this paper we establish the artificial control method for nonlinear distributed systems. We investigate the regularity properties of each weak solution for “problem in hands.” As a result, the long-time dynamics, the convergence of approximations in strongest topologies, and the structure properties of limit sets for all weak solutions for the number of nonlinear systems like a feedback control problem, a model of combustion in porous media, a model of conduction of electrical impulses in nerve axons, a climate energy balance model, and the 3D Navier-Stokes system can be examined.

Keywords: Artificial Control; Energy Balance Climate Model; Feedback Control Problem; Weak Solution; Long-time Dynamics (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-68640-0_28

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DOI: 10.1007/978-3-319-68640-0_28

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