On the dynamic programming approach for the 3D Navier-Stokes equations

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The dynamic programming approach for the control of a 3D flow governed by the stochastic Navier-Stokes equations for incompressible fluid in a bounded domain is studied. By a compactness argument, existence of solutions for the associated Hamilton-Jacobi-Bellman equation is proved. Finally, existence of an optimal control through the feedback formula and of an optimal state is discussed.
18 pages

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Optimization and Control, Probability, 76D05; 76D55; 49L20

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http://salesiana.dossiersoluciones.com/handle/123456789/116510

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0609389
 http://arxiv.org/abs/math/0609389

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arXiv