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Global continuity and BMO estimates for non-Newtonian fluids with perfect slip boundary conditions
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SYSNO ASEP 0541502 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Global continuity and BMO estimates for non-Newtonian fluids with perfect slip boundary conditions Tvůrce(i) Mácha, Václav (MU-W) RID, SAI, ORCID
Schwarzacher, S. (CZ)Zdroj.dok. Revista Matematica Iberoamericana. - : EMS Press - ISSN 0213-2230
Roč. 37, č. 3 (2021), s. 1115-1173Poč.str. 59 s. Jazyk dok. eng - angličtina Země vyd. CH - Švýcarsko Klíč. slova incompressible fluids ; generalized Stokes system ; boundary regularity ; BMO estimates ; slip boundary conditions Vědní obor RIV BA - Obecná matematika Obor OECD Pure mathematics CEP GA16-03230S GA ČR - Grantová agentura ČR Způsob publikování Omezený přístup Institucionální podpora MU-W - RVO:67985840 UT WOS 000635197100007 EID SCOPUS 85103757106 DOI 10.4171/rmi/1222 Anotace We study the generalized stationary Stokes system in a bounded domain in the plane equipped with perfect slip boundary conditions. We show natural stability results in oscillatory spaces, i.e., Hölder spaces and Campanato spaces, including the border-line spaces of bounded mean oscillations (BMO) and vanishing mean oscillations (VMO). In particular, we show that, under appropriate assumptions, gradients of solutions are globally continuous. Since the stress tensor is assumed to be governed by a general Orlicz function, our theory includes various cases of (possibly degenerate) shear thickening and shear thinning fluids, including the model case of power law fluids. The global estimates seem to be new even in the case of the linear Stokes system. We include counterexamples that demonstrate that our assumptions on the right-hand side and on the boundary regularity are optimal. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2022 Elektronická adresa https://doi.org/10.4171/rmi/1222
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