Limiting behavior of solutions of the exterior Stokes problem as the friction coefficient tends to zero and infinity
Anis Dhifaoui, Evgenii Sergeevich Baranovskii · ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik · 2025
Abstract The aim of this work is to study the limiting behavior of solutions of a mathematical model describing 3D steady‐state flows of a viscous incompressible fluid around an obstacle under the Navier slip boundary conditions in the situations when the friction coefficient goes to zero and infinity. Both limiting cases are important from a physical point of view because they represent the slip‐without‐friction regime and the no‐slip regime, respectively.