Abstract
The aim of this note is to improve the regularity results obtained by H. Beirão da Veiga in 2008 for a class of p-fluid flows in a cubic domain. The key idea is exploiting the better regularity of solutions in the tangential directions with respect to the normal one, by appealing to anisotropic Sobolev embeddings.
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Crispo, F. On the regularity of shear thickening viscous fluids. Chin. Ann. Math. Ser. B 30, 273–280 (2009). https://doi.org/10.1007/s11401-007-0539-7
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DOI: https://doi.org/10.1007/s11401-007-0539-7