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].
Existence of strong solutions for incompressible fluids with shear dependent viscosities
BERSELLI, LUIGI CARLO;
2010-01-01
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].File in questo prodotto:
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