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On the W2,q-Regularity of Incompressible Fluids with Shear-Dependent Viscosities: The Shear-Thinning Case

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Abstract.

In this paper we improve the results stated in Reference [2], in this same Journal, by using -basically- the same tools. We consider a non Newtonian fluid governed by equations with p-structure and we show that second order derivatives of the velocity and first order derivatives of the pressure belong to suitable Lebesgue spaces.

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  1. Dipartimento di Matematica Applicata “U. Dini”, Università di Pisa, Via F. Buonarroti 1/c, I-56126, Pisa, Italy

    Luigi C. Berselli

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  1. Luigi C. Berselli
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Correspondence to Luigi C. Berselli.

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Communicated by H. Beirão da Veiga

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Berselli, L.C. On the W2,q-Regularity of Incompressible Fluids with Shear-Dependent Viscosities: The Shear-Thinning Case. J. math. fluid mech. 11, 171–185 (2009). https://doi.org/10.1007/s00021-008-0254-5

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  • DOI: https://doi.org/10.1007/s00021-008-0254-5

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