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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 &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.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • 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

  • 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