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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Communicated by H. Beirão da Veiga
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Berselli, L.C., Diening, L. & Růžička, M. Existence of Strong Solutions for Incompressible Fluids with Shear Dependent Viscosities. J. Math. Fluid Mech. 12, 101–132 (2010). https://doi.org/10.1007/s00021-008-0277-y
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DOI: https://doi.org/10.1007/s00021-008-0277-y
Keywords.
- Non-Newtonian fluids
- shear dependent viscosity
- degenerate parabolic systems
- weak and strong solutions
- shifted N-functions