Bull. Math. Soc. Sci. Math. Roumanie


Mahdi Boukrouche, and Rachid El Mir: On the Navier-Stokes system in a thin film flow with Tresca free boundary condition and its asymptotic behavior, p. 139-163
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Mahdi Boukrouche, and Rachid El Mir: On the Navier-Stokes system in a thin film flow with Tresca free boundary condition and its asymptotic behavior, p. 139-163

Abstract:

We study first the existence and uniqueness of solutions to a lubrication problem governed by the stationary Navier-Stokes system and subject to Tresca free boundary conditions. Then we establish the asymptotic behavior of its solutions.

Key Words: Free boundary; Tresca law; Navier-Stokes problem; Lubrication; Inertial effects; Asymptotic behavior of weak solutions.

2000 Mathematics Subject Classification: Primary: 35R35,
Secondary: 76D05, 76D03.

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