Abstract.
In this paper, we consider weak solutions to the equations of stationary motion of a class of non-Newtonian fluids the constitutive law of which includes the “power law model” as special case. We prove the existence of second order derivatives of weak solutions to these equations.
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Naumann, J., Wolf, J. Interior Differentiability of Weak Solutions to the Equations of Stationary Motion of a Class of Non-Newtonian Fluids. J. math. fluid mech. 7, 298–313 (2005). https://doi.org/10.1007/s00021-004-0120-z
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DOI: https://doi.org/10.1007/s00021-004-0120-z