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NAVIER-STOKES SYSTEMS WITH QUASIMONOTONE VISCOSITY TENSOR

Pierre Dreyfuss, Norbert Hungerb

Abstract


In [3] we investigated a class of Navier-Stokes systems which is motivated by models for electrorheological fluids. We obtained an existence result for a weak solution under mild monotonicity assumptions for the viscosity tensor. In this article, we continue the analysis of suchsystems, but with various notions of quasimonotonicity instead ofclassical pointwise monotonicity assumptions. Moreover we allow the external force to be of a more general form.

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