On the Existence and long time behaviour of $H^1$-Weak Solutions for $2,3d$-Stochastic $3^{rd}$-Grade Fluids Equations

Raya Nouira, Fernanda Cipriano, Yassine Tahraoui

In the present work, we investigate stochastic third grade fluids equations in a $d$-dimensional setting, for $d=2,3$. More precisely, on a bounded and simply connected domain $…