Nonlocal Cahn-Hilliard-Navier-Stokes systems with shear dependent viscosity

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10390803" target="_blank" >RIV/00216208:11320/18:10390803 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1016/j.jmaa.2017.10.078" target="_blank" >https://doi.org/10.1016/j.jmaa.2017.10.078</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.jmaa.2017.10.078" target="_blank" >10.1016/j.jmaa.2017.10.078</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Nonlocal Cahn-Hilliard-Navier-Stokes systems with shear dependent viscosity

Popis výsledku v původním jazyce

We consider a diffuse interface model for the phase separation of an incompressible and isothermal non-Newtonian binary fluid mixture in three dimensions. The averaged velocity u is governed by a Navier-Stokes system with a shear dependent viscosity controlled by a power p &gt; 2. This system is nonlinearly coupled through the Korteweg force with a convective nonlocal Cahn-Hilliard equation for the order parameter phi, that is, the (relative) concentration difference of the two components. The resulting equations are endowed with the no-slip boundary condition for is and the no-flux boundary condition for the chemical potential mu. The latter variable is the functional derivative of a nonlocal and nonconvex Ginzburg-Landau type functional which accounts for the presence of two phases. We first prove the existence of a weak solution in the case p &gt;= 11/5. Then we extend some previous results on time regularity and uniqueness if p &gt; 11/5.

Název v anglickém jazyce

Nonlocal Cahn-Hilliard-Navier-Stokes systems with shear dependent viscosity

Popis výsledku anglicky

We consider a diffuse interface model for the phase separation of an incompressible and isothermal non-Newtonian binary fluid mixture in three dimensions. The averaged velocity u is governed by a Navier-Stokes system with a shear dependent viscosity controlled by a power p &gt; 2. This system is nonlinearly coupled through the Korteweg force with a convective nonlocal Cahn-Hilliard equation for the order parameter phi, that is, the (relative) concentration difference of the two components. The resulting equations are endowed with the no-slip boundary condition for is and the no-flux boundary condition for the chemical potential mu. The latter variable is the functional derivative of a nonlocal and nonconvex Ginzburg-Landau type functional which accounts for the presence of two phases. We first prove the existence of a weak solution in the case p &gt;= 11/5. Then we extend some previous results on time regularity and uniqueness if p &gt; 11/5.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2018

Kód důvěrnosti údajů

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

Název periodika

Journal of Mathematical Analysis and Applications

ISSN

0022-247X

e-ISSN

—

Svazek periodika

459

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

25

Strana od-do

753-777

Kód UT WoS článku

000419260900006

EID výsledku v databázi Scopus

2-s2.0-85034423330