Global well-posedness for small data in a 3D temperature-velocity model with Dirichlet boundary noise

Gianmarco Del Sarto, Marta Lenzi

We study a three-dimensional Boussinesq-type temperature-velocity system on a bounded smooth domain $\mathcal{D}\subset {\mathbb{R}}^3$, where the velocity $u^{\epsilon }$ solves the Na…