Flocking particles in a non-Newtonian shear thickening fluid

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10388549" target="_blank" >RIV/00216208:11320/18:10388549 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1088/1361-6544/aab594" target="_blank" >https://doi.org/10.1088/1361-6544/aab594</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1361-6544/aab594" target="_blank" >10.1088/1361-6544/aab594</a>

Result language
angličtina
Original language name
Flocking particles in a non-Newtonian shear thickening fluid
Original language description
We prove the existence of strong solutions to the Cucker-Smale flocking model coupled with an incompressible viscous non-Newtonian fluid with the stress tensor of a power-law structure for p >= 11/5. The fluid part of the system admits strong solutions while the solutions to the CS part are weak. The coupling is performed through a drag force on a periodic spatial domain T-3. Additionally, we construct a Lyapunov functional determining the large time behavior of solutions to the system.
Czech name
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Czech description
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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

Project
<a href="/en/project/GA16-03230S" target="_blank" >GA16-03230S: Thermodynamically consistent models for fluid flows: mathematical theory and numerical solution</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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