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Interior Differentiability of Weak Solutions to the Equations of Stationary Motion of a Class of Non-Newtonian Fluids
Authors:J Naumann  J Wolf
Institution:(1) Institut fur Mathematik, Humboldt-Universität zu Berlin, Sitz: Rudower Chaussee 25, Unter den Linden 6, D-10099 Berlin, Germany
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 ldquopower law modelrdquo as special case. We prove the existence of second order derivatives of weak solutions to these equations.
Keywords:35Q30  76D05  35J65
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