Regularity for Ostwald-de Waele type shear thickening fluids

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Abstract

We obtain local in time existence of strong solution for non-Newtonian fluid with shear thickening viscosity. We also obtain the Hausdorff dimension of time singular set, and a Serrin type regularity criterion.

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Bae, H. O., Kang, K., Lee, J., & Wolf, J. (2015). Regularity for Ostwald-de Waele type shear thickening fluids. Nonlinear Differential Equations and Applications, 22(1), 1–19. https://doi.org/10.1007/s00030-014-0273-2

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