On power-law fluids with the power-law index proportional to the pressure

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F16%3A10332678" target="_blank" >RIV/00216208:11320/16:10332678 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.aml.2016.07.007" target="_blank" >http://dx.doi.org/10.1016/j.aml.2016.07.007</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aml.2016.07.007" target="_blank" >10.1016/j.aml.2016.07.007</a>

Result language
angličtina
Original language name
On power-law fluids with the power-law index proportional to the pressure
Original language description
In this short note we study special unsteady flows of a fluid whose viscosity depends on both the pressure and the shear rate. Here we consider an interesting dependence of the viscosity on the pressure and the shear rate; a power-law of the shear rate wherein the exponent depends on the pressure. The problem is important from the perspective of fluid dynamics in that we obtain solutions to a technologically relevant problem, and also from the point of view of mathematics as the analysis of the problem rests on the theory of spaces with variable exponents. We use the theory to prove the existence of solutions to generalizations of Stokes' first and second problem.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/LL1202" target="_blank" >LL1202: Implicitly constituted material models: from theory through model reduction to efficient numerical methods</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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