ORIGINAL PAPER
Limiting behavior of solutions of the exterior Stokes problem as the friction coefficient tends to zero and infinity
Anis Dhifaoui,
Evgenii S. Baranovskii,
Anis Dhifaoui
LR Analysis and Control of PDEs, LR22ES03, Department of Mathematics, Faculty of Sciences of Monastir University of Monastir, Tunisia
Search for more papers by this authorCorresponding Author
Evgenii S. Baranovskii
Department of Applied Mathematics, Informatics and Mechanics, Voronezh State University, Voronezh, Russia
Correspondence
Evgenii S. Baranovskii, Department of Applied Mathematics, Informatics and Mechanics, Voronezh State University, Voronezh 394018, Russia.
Email: [email protected]
Search for more papers by this authorAnis Dhifaoui,
Evgenii S. Baranovskii,
Anis Dhifaoui
LR Analysis and Control of PDEs, LR22ES03, Department of Mathematics, Faculty of Sciences of Monastir University of Monastir, Tunisia
Search for more papers by this authorCorresponding Author
Evgenii S. Baranovskii
Department of Applied Mathematics, Informatics and Mechanics, Voronezh State University, Voronezh, Russia
Correspondence
Evgenii S. Baranovskii, Department of Applied Mathematics, Informatics and Mechanics, Voronezh State University, Voronezh 394018, Russia.
Email: [email protected]
Search for more papers by this authorFirst published: 28 May 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.
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