Local Strong Solutions for the Compressible Non-Newtonian Models with Density-Dependent Viscosity and Vacuum

Abstract

The one-dimensional compressible non-Newtonian models are considered in this paper. The extra-stress tensor in our models satisfies a kind of power law structure which was proposed by O. A. Ladyzhenskaya in 1970s. In particular, the viscosity coefficient in our models depends on the density. By using energy-estimate, the authors obtain the existence and uniqueness of local strong solutions for which the density is non-negative.

Keywords

Compressible non-Newtonian fluid / Density dependent / Vacuum

References

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