Divergence-Free Approximation in Sobolev and Lebesgue Spaces on General Unbounded Domains with Applications to Energy Equality in Fluid Dynamics

Akram Khan, Sagar Gautam, Manil T. Mohan

We construct divergence-free, vector-valued approximation functions on the whole space ${\mathbb{R}}^d$, $d\ge 2$, as well as on general unbounded domains of uniform $\mathrm{C}^{1,…