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 was partially supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education, Science and Technology (2009-0088692),and by World Class University project (R31-2009-000-20007-0).
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Bae, HO., Kang, K., Lee, J. et al. Regularity for Ostwald-de Waele type shear thickening fluids. Nonlinear Differ. Equ. Appl. 22, 1–19 (2015). https://doi.org/10.1007/s00030-014-0273-2
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DOI: https://doi.org/10.1007/s00030-014-0273-2