Abstract
A constitutive law for a class of non newtonian fluids is considered. The stress-tensionσ is defined as an element in the subgradient of a convex, l.s.c. function:σ ∈ ∂ϕ(D);D is the tension of the rate of deformation. We give existence and uniqueness theorems. Some examples (Bingham fluid, pseudo-plastic and dilatant fluids) are also given.
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Communicated by J. L. Lions
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Cioranescu, D. Sur une Classe de Fluides Non-Newtoniens. Appl Math Optim 3, 263–282 (1976). https://doi.org/10.1007/BF01441969
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DOI: https://doi.org/10.1007/BF01441969