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Partial regularity of solution to generalized Navier-Stokes problem by Václav Mácha is a Mathematics article available to read on EtoBox.

What is Partial regularity of solution to generalized Navier-Stokes problem about?

## Abstract 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, for dimension 2 we get even an empty set of singular points.

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Author
Václav Mácha
Publisher
Walter de Gruyter GmbH
Published
2014
Language
EN
Field
Mathematics (Physical Sciences)

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