ON THE CLASSIFICATION OF INCOMPRESSIBLE FLUIDS AND A MATHEMATICAL ANALYSIS OF THE EQUATIONS THAT GOVERN THEIR MOTION
Identifikátory výsledku
Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F20%3A10423848" target="_blank" >RIV/00216208:11320/20:10423848 - isvavai.cz</a>
Výsledek na webu
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=vYHrq6fxQ4" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=vYHrq6fxQ4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1137/19M1244895" target="_blank" >10.1137/19M1244895</a>
Alternativní jazyky
Jazyk výsledku
angličtina
Název v původním jazyce
ON THE CLASSIFICATION OF INCOMPRESSIBLE FLUIDS AND A MATHEMATICAL ANALYSIS OF THE EQUATIONS THAT GOVERN THEIR MOTION
Popis výsledku v původním jazyce
In the first part of the paper we provide a new classification of incompressible fluids characterized by a continuous monotone relation between the velocity gradient and the Cauchy stress. The considered class includes Euler fluids, Navier-Stokes fluids, classical power-law fluids as well as stress power-law fluids, and their various generalizations including the fluids that we refer to as activated fluids, namely, fluids that behave as an Euler fluid prior activation and behave as a viscous fluid once activation takes place. We also present a classification concerning boundary conditions that are viewed as the constitutive relations on the boundary. In the second part of the paper, we develop a robust mathematical theory for activated Euler fluids associated with different types of the boundary conditions ranging from no-slip to free-slip and include Navier's slip as well as stick-slip. Both steady and unsteady flows of such fluids in three-dimensional domains are analyzed.
Název v anglickém jazyce
ON THE CLASSIFICATION OF INCOMPRESSIBLE FLUIDS AND A MATHEMATICAL ANALYSIS OF THE EQUATIONS THAT GOVERN THEIR MOTION
Popis výsledku anglicky
In the first part of the paper we provide a new classification of incompressible fluids characterized by a continuous monotone relation between the velocity gradient and the Cauchy stress. The considered class includes Euler fluids, Navier-Stokes fluids, classical power-law fluids as well as stress power-law fluids, and their various generalizations including the fluids that we refer to as activated fluids, namely, fluids that behave as an Euler fluid prior activation and behave as a viscous fluid once activation takes place. We also present a classification concerning boundary conditions that are viewed as the constitutive relations on the boundary. In the second part of the paper, we develop a robust mathematical theory for activated Euler fluids associated with different types of the boundary conditions ranging from no-slip to free-slip and include Navier's slip as well as stick-slip. Both steady and unsteady flows of such fluids in three-dimensional domains are analyzed.
Klasifikace
Druh
J<sub>imp</sub> - Článek v periodiku v databázi Web of Science
CEP obor
—
OECD FORD obor
10102 - Applied mathematics
Návaznosti výsledku
Projekt
Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.
Návaznosti
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Ostatní
Rok uplatnění
2020
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Údaje specifické pro druh výsledku
Název periodika
SIAM Journal on Mathematical Analysis
ISSN
0036-1410
e-ISSN
—
Svazek periodika
52
Číslo periodika v rámci svazku
2
Stát vydavatele periodika
US - Spojené státy americké
Počet stran výsledku
58
Strana od-do
1232-1289
Kód UT WoS článku
000546971100008
EID výsledku v databázi Scopus
2-s2.0-85084448081