Global continuity and BMO estimates for non-Newtonian fluids with perfect slip boundary conditions

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F21%3A00541502" target="_blank" >RIV/67985840:_____/21:00541502 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/00216208:11320/21:10441255

Výsledek na webu

<a href="https://doi.org/10.4171/rmi/1222" target="_blank" >https://doi.org/10.4171/rmi/1222</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.4171/rmi/1222" target="_blank" >10.4171/rmi/1222</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Global continuity and BMO estimates for non-Newtonian fluids with perfect slip boundary conditions

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Global continuity and BMO estimates for non-Newtonian fluids with perfect slip boundary conditions

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GA16-03230S" target="_blank" >GA16-03230S: Termodynamicky konzistentni modely pro proudění tekutin: matematická teorie a numerické řešení</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2021

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Revista Matematica Iberoamericana

ISSN

0213-2230

e-ISSN

—

Svazek periodika

37

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

59

Strana od-do

1115-1173

Kód UT WoS článku

000635197100007

EID výsledku v databázi Scopus

2-s2.0-85103757106