Existence of Strong Solutions for Incompressible Fluids with Shear Dependent Viscosities |
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| Authors: | Luigi C. Berselli Lars Diening Michael Růžička |
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| Affiliation: | 1. Dipartimento di Matematica Applicata “U.Dini”, Università di Pisa, Via F. Buonarroti 1/c, I-56127, Pisa, Italy
2. Institute of Applied Mathematics, Albert-Ludwigs-University Freiburg, Eckerstra?e 1, D–79104, Freiburg, Germany
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| Abstract: | Certain rheological behavior of non-Newtonian fluids in engineering sciences is often modeled by a power law ansatz with p ∈ (1, 2]. In the present paper the local in time existence of strong solutions is studied. The main result includes also the degenerate case (δ = 0) of the extra stress tensor and thus improves previous results of [L. Diening and M. Růžička, J. Math. Fluid Mech., 7 (2005), pp. 413–450]. |
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