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On Variational Models for Quasi-static Bingham Fluids

✍ Scribed by Martin Fuchs; Joseph F. Grotowski; Jürgen Reuling

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
850 KB
Volume
19
Category
Article
ISSN
0170-4214

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✦ Synopsis

Communicated by E. Meister

We study a quasi-static incompressible flow of Bingham type with constituent law

where p 2 2 and j3 > 0. Here &u denotes the strain velocity and T the corresponding stress. The problem admits a variational formulation in the sense that the velocity field u minimizes the energy I(u) = s , l&ulp + fll&uldx in the space { u E H'*P(R,R"): divv = 0} subject to appropriate boundary conditions. We then show smoothness of u on the set {x E R: 8u # 0).

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