Non‐Newtonian flow in a thin film with boundary conditions of Coulomb's type | Zendy

Saidi F. | Zendy

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Non‐Newtonian flow in a thin film with boundary conditions of Coulomb's type

Author(s) -

Saidi F.

Publication year - 2006

Publication title -

zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 51

eISSN - 1521-4001

pISSN - 0044-2267

DOI - 10.1002/zamm.200510275

Subject(s) - uniqueness , coulomb , slip (aerodynamics) , boundary value problem , limit (mathematics) , newtonian fluid , mathematics , type (biology) , mathematical analysis , convergence (economics) , uniqueness theorem for poisson's equation , flow (mathematics) , mechanics , physics , geometry , thermodynamics , geology , quantum mechanics , economic growth , economics , electron , paleontology

This paper concerns the asymptotic behavior of solutions of the three‐dimensional non‐Newtonian fluid flow with slip condition of Coulomb's type imposed on a part of the boundary domain. Existence and uniqueness results for the weak solution are proved. We study the limit when the thickness tends to zero and we prove a convergence theorem for velocity and pressure in appropriate functional spaces. The limit of slip condition is obtained. Besides, the uniqueness of the velocity and the pressure limits are also proved.

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