Nonlocal Cahn-Hilliard-Navier-Stokes systems with shear dependent viscosity
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Nonlocal Cahn-Hilliard-Navier-Stokes systems with shear dependent viscosity
Original language description
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 > 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 >= 11/5. Then we extend some previous results on time regularity and uniqueness if p > 11/5.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Mathematical Analysis and Applications
ISSN
0022-247X
e-ISSN
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Volume of the periodical
459
Issue of the periodical within the volume
2
Country of publishing house
US - UNITED STATES
Number of pages
25
Pages from-to
753-777
UT code for WoS article
000419260900006
EID of the result in the Scopus database
2-s2.0-85034423330