Div-Curl Problems and ${\mathbf{H}}^1$-regular Stream Functions in 3D Lipschitz Domains

Matthias Kirchhart, Erick Schulz

We consider the problem of recovering the divergence-free velocity field $\mathbf{U}\in {\mathbf{L}}^2(\Omega )$ of a given vorticity $\mathbf{F}=\mathrm{curl}\mathbf{U}$ on a bounded…