Displaying similar documents to “On the regularity of elliptic differential equations using symmetry techniques and suitable discrete spaces.”

Partial regularity of solution to generalized Navier-Stokes problem

Václav Mácha (2014)

Open Mathematics

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In the presented work, we study the regularity of solutions to the generalized Navier-Stokes problem up to a C 2 boundary in dimensions two and three. The point of our generalization is an assumption that a deviatoric part of a stress tensor depends on a shear rate and on a pressure. We focus on estimates of the Hausdorff measure of a singular set which is defined as a complement of a set where a solution is Hölder continuous. We use so-called indirect approach to show partial regularity,...