Počet záznamů: 1
Partial regularity of solution to generalized Navier-Stokes problem
- 1.0430423 - MÚ 2015 RIV PL eng J - Článek v odborném periodiku
Mácha, Václav
Partial regularity of solution to generalized Navier-Stokes problem.
Central European Journal of Mathematics. Roč. 12, č. 10 (2014), s. 1460-1483. ISSN 1895-1074. E-ISSN 1644-3616
Grant CEP: GA ČR(CZ) GAP201/11/1304; GA ČR GA201/09/0917
Institucionální podpora: RVO:67985840
Klíčová slova: Stokes problem * Navier-Stokes problem * partial regularity
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.578, rok: 2014
http://link.springer.com/article/10.2478%2Fs11533-014-0427-9
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 a shear 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 an empty set of singular points.
Trvalý link: http://hdl.handle.net/11104/0235366
Počet záznamů: 1