IDEAS home Printed from https://ideas.repec.org/h/spr/spochp/978-3-319-68640-0_28.html
   My bibliography  Save this book chapter

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

In: Optimization Methods and Applications

Author

Listed:
  • 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”)

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.

Suggested Citation

  • Michael Z. Zgurovsky & Pavlo O. Kasyanov, 2017. "Method of Artificial Control and the 3D Navier-Stokes System," Springer Optimization and Its Applications, in: Sergiy Butenko & Panos M. Pardalos & Volodymyr Shylo (ed.), Optimization Methods and Applications, pages 585-600, Springer.
    • Handle: RePEc:spr:spochp:978-3-319-68640-0_28
    DOI: 10.1007/978-3-319-68640-0_28
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:spochp:978-3-319-68640-0_28. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.