Počet záznamů: 1
On robustness of a strong solution to the Navier–Stokes equations with Navier's boundary conditions in the L3-norm
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SYSNO ASEP 0473686 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název On robustness of a strong solution to the Navier–Stokes equations with Navier's boundary conditions in the L3-norm Tvůrce(i) Kučera, P. (CZ)
Neustupa, Jiří (MU-W) RID, SAI, ORCIDZdroj.dok. Nonlinearity. - : Institute of Physics Publishing - ISSN 0951-7715
Roč. 30, č. 4 (2017), s. 1564-1583Poč.str. 20 s. Jazyk dok. eng - angličtina Země vyd. GB - Velká Británie Klíč. slova Navier-Stokes equations ; slip boundary conditions ; regularity Vědní obor RIV BA - Obecná matematika Obor OECD Pure mathematics CEP GA13-00522S GA ČR - Grantová agentura ČR Institucionální podpora MU-W - RVO:67985840 UT WOS 000397502600001 EID SCOPUS 85016139976 DOI 10.1088/1361-6544/aa6166 Anotace We recall or prove a series of results on solutions to the Navier-Stokes equation with Navier's slip boundary conditions. The main theorem says that a strong solution u on any time interval (0,T) (where ...) is robust in the sense that small perturbations of the initial value in the norm of L^3(Omega) and the acting body force in the norm of L^2(0,T:, L^{3/2}(Omega)) cause only a small perturbation of solution u in the norm of L^3(Omega). This result particularly implies that the maximum length of the time interval, on which the solution starting from the initial value u_0 in L^3(Omega) is regular, is a lower semi-continuous functional on L^3(Omega). Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2018
Počet záznamů: 1