This research demonstrates maximal regularity for the Stokes equations in irregular domains, suggesting implications for fluid dynamics.
We consider the steady Stokes equations supplemented with Navier boundary conditions including a non-negative friction coefficient. We prove maximal regularity estimates (including the prominent spaces W1,p W 1 , p and W2,p W 2 , p for 1<p<∞ 1 < p < ∞ for the velocity field) in bounded domains of minimal regularity. Interestingly, exactly one derivative more is required for the local boundary charts compared to the case of no-slip boundary conditions. We demonstrate the sharpness of our results by a propos examples.
No takes yet. Share an insight, caveat, or question.
Breit et al. (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: