Asymptotics of solutions to the Navier-Stokes equations in the exterior of a bounded body
The authors consider an exterior Dirichlet problem for the steady Navier-Stokes equations \[ -\nu \nabla v + (v \cdot \Delta) v + \Delta p = f ,\quad \Delta \cdot v = 0 \] in \(\mathbb R \backslash \omega \cup \partial \omega \), where \( \omega \) is a bounded set. An asymptotic formula is derived for \(v\) and \(P\) under the condition that its boundary data are small.
scientific article; zbMATH DE number 1557767