Control of the Stochastic Burgers Model of Turbulence

Authors:
Giuseppe Da Prato;Arnaud Debussche
Affiliations:
-;-
Venue:
SIAM Journal on Control and Optimization
Year:
1999

Citing 0
Cited 2

Existence of optimal and ε-optimal controls for the stochastic Navier-Stokes equation

Nonlinear Analysis: Theory, Methods & Applications
Error Estimates of Stochastic Optimal Neumann Boundary Control Problems

SIAM Journal on Numerical Analysis

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Abstract

We consider a control problem for a stochastic Burgers equation. This problem is motivated by a model from the control of Turbulence (see [Choi et al., J. Fluid Mech., 253 (1993), pp. 509--543]). We study a sequence of approximated Hamilton--Jacobi equations by using dynamic programming.