JournalspmVol. 66 / No. 2DOI 10.4171/pm/1841

A note on the global regularity of steady flows of generalized Newtonian fluids

  • Francesca Crispo

    Università di Pisa, Italy
A note on the global regularity of steady flows of generalized Newtonian fluids cover

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Abstract

We establish regularity results for solutions of a generalized Newtonian model in a cubic domain. We prove regularity results in the L2-space for the second derivatives of the velocity and the first derivatives of the pressure. Further, we show that the gradient of weak solutions is integrable up to the boundary with any finite exponent.