Počet záznamů: 1
The interior regularity of pressure associated with a weak solution to the Navier-Stokes equations with the Navier-type boundary conditions
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SYSNO ASEP 0489052 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název The interior regularity of pressure associated with a weak solution to the Navier-Stokes equations with the Navier-type boundary conditions Tvůrce(i) Neustupa, Jiří (MU-W) RID, SAI, ORCID
Al Baba, Hind (MU-W) SAI, RID, ORCIDZdroj.dok. Journal of Mathematical Analysis and Applications. - : Elsevier - ISSN 0022-247X
Roč. 463, č. 1 (2018), s. 222-234Poč.str. 13 s. Jazyk dok. eng - angličtina Země vyd. US - Spojené státy americké Klíč. slova Navier-Stokes equation ; Navier-type boundary conditions ; interior regularity Vědní obor RIV BA - Obecná matematika Obor OECD Pure mathematics CEP GA17-01747S GA ČR - Grantová agentura ČR Institucionální podpora MU-W - RVO:67985840 UT WOS 000429890300013 EID SCOPUS 85043997081 DOI 10.1016/j.jmaa.2018.03.017 Anotace We prove that if u is a weak solution to the Navier-Stokes system with the Navier-type boundary conditions in Omega x (0,T), satisfying the strong energy inequality in Omega x (0,T) and Serrin's integrability conditions in Omega' x (t1,t2) (where Omega' is a sub-domain of Omega and 0<= t1<t2<=T) then p and the time-derivative of u have spatial derivatives of all orders essentially bounded in Omega'' x (t1+e,t2-e) for any bounded sub-domain Omega'' of Omega' and e>0 so small that t1+e<t2-e. (See Theorem 1.) We show an application of Theorem 1 to the procedure of localization. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2019
Počet záznamů: 1