On the optimal control and the stochastic perturbation of a third grade fluid
27/10/2022 Thursday 27th October 2022, 15:00 (Room P3.10, Mathematics Building)
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Yassine Tahraoui, CMAFCT, Universidade Nova de Lisboa
Most studies on fluid dynamics have been devoted to Newtonian fluids, which are characterized by the classical Newton’s law of viscosity. However, there exist many real fluids with nonlinear viscoelastic behavior that does not obey Newton’s law of viscosity. My aim is to discuss two problems related to a class of nonNewtonian fluids of differential type. Namely, the optimal control of incompressible thirdgrade fluids in 2D, via Pontryagin’s maximum principle and the strong wellposedness, in PDEs and probabilistic senses, of the 3D stochastic thirdgrade fluids in the presence of multiplicative noise driven by a QWiener process.
The talk is based on recent works with Fernanda Cipriano (CMA, Univ. NOVA de Lisboa).
