Approximation of optimal control problems for the Navier-Stokes equation via multilinear HJB-POD

We consider the approximation of some optimal control problems for Navier-Stokes equation via a Dynamic Programming approach. These arise in many industrial applications and are very challenging from numerical point view since semi-discretization dynamics corresponds to an evolutive system ordinary differential equations high-dimension. The typical approach is based on Pontryagin maximum principle leads two boundary value problem. Here we present different function solution Bellman equation, problem mitigate curse dimensionality recent multilinear coupled with dynamic programming scheme tree structure. discuss several aspects related implementation this new examples illustrate results classical studied literature.