Partial regularity of solution to generalized Navier-Stokes problem

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F14%3A00430423" target="_blank" >RIV/67985840:_____/14:00430423 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.2478/s11533-014-0427-9" target="_blank" >http://dx.doi.org/10.2478/s11533-014-0427-9</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.2478/s11533-014-0427-9" target="_blank" >10.2478/s11533-014-0427-9</a>

Result language
angličtina
Original language name
Partial regularity of solution to generalized Navier-Stokes problem
Original language description
In the presented work, we study the regularity of solutions to the generalized Navier-Stokes problem up to a C2 boundary in dimensions two and three. The point of our generalization is an assumption that a deviatoric part of a stress tensor depends on ashear rate and on a pressure. We focus on estimates of the Hausdor measure of a singular set, i.e. a complement of a set where a solution is Holder continuous. We use so-called indirect approach to show partial regularity, for dimension 2 we get even anempty set of singular points.
Czech name
—
Czech description
—

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)