27/10/2022, 15:00 — 16:00 — Sala P3.10, Pavilhão de Matemática
Yassine Tahraoui, CMA-FCT, Universidade Nova de Lisboa
On the optimal control and the stochastic perturbation of a third grade fluid
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 non-Newtonian fluids of differential type. Namely, the optimal control of incompressible third-grade fluids in 2D, via Pontryagin’s maximum principle and the strong well-posedness, in PDEs and probabilistic senses, of the 3D stochastic third-grade fluids in the presence of multiplicative noise driven by a Q-Wiener process.
The talk is based on recent works with Fernanda Cipriano (CMA, Univ. NOVA de Lisboa).
