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Optimal Control for Two-Dimensional Stochastic Navier-Stokes Equations

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Abstract

Loeb space methods are used to prove the existence of an optimal control for the two-dimensional stochastic Navier--Stokes equations in a variety of settings—including that of control based on digital observations of the evolution of the solution.

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Authors and Affiliations

  1. Mathematics Department, University of York, York YO10 5DD, England

    Nigel J. Cutland

  2. Department of Finance, National-Louis University, Nowy Sacz, Poland

    Katarzyna Grzesiak

Authors
  1. Nigel J. Cutland
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  2. Katarzyna Grzesiak
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Correspondence to Nigel J. Cutland or Katarzyna Grzesiak.

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Cutland, N., Grzesiak, K. Optimal Control for Two-Dimensional Stochastic Navier-Stokes Equations. Appl Math Optim 55, 61–91 (2007). https://doi.org/10.1007/s00245-006-0866-1

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  • DOI: https://doi.org/10.1007/s00245-006-0866-1

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