Asymptotic behaviour of solutions of lubrication problem in a thin domain with a rough boundary and Tresca fluid-solid interface law

DOI10.1090/S0033-569X-06-01030-3zbMath1129.35082MaRDI QIDQ3429203

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Publication date: 30 March 2007

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

uniquenesslower-semicontinuityStokes flow in a thin domainTresca fluid-solid interface condition

Mathematics Subject Classification ID

Lubrication theory (76D08) Free boundary problems for PDEs (35R35)

Related Items

Semilinear elliptic equations in thin domains with reaction terms concentrating on boundary, Thin domains with non-smooth periodic oscillatory boundaries, Correctors for the Neumann problem in thin domains with locally periodic oscillatory structure, Semilinear elliptic equations in thin regions with terms concentrating on oscillatory boundaries, Unsteady micropolar fluid flow in a thin domain with Tresca fluid-solid interface law, On a non-isothermal, non-Newtonian lubrication problem with Tresca law: existence and the behavior of weak solutions, The Neumann problem in thin domains with very highly oscillatory boundaries, Existence, uniqueness, and convergence of optimal control problems associated with parabolic variational inequalities of the second kind, Remarks on the p-Laplacian on thin domains, Analysis of the roughness regimes for micropolar fluids via homogenization, Parabolic problems in highly oscillating thin domains

Cites Work

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