Note on the problem of compressible non-Newtonian fluids

0508007 - MÚ 2020 RIV CZ eng C - Conference Paper (international conference)
Caggio, M. - Nečasová, Šárka
Note on the problem of compressible non-Newtonian fluids.
Proceedings of Topical Problems of Fluid Mechanics 2019. Praha: Institute of Thermomechanics of the Czech Academy of Sciences, 2019, s. 31-36. ISBN 978-80-87012-69-7. ISSN 2336-5781.
[Topical Problems of Fluid Mechanics 2019. Prague (CZ), 20.02.2019-22.02.2019]
R&D Projects: GA ČR GA16-03230S
Institutional support: RVO:67985840
Keywords : non-Newtonian fluid * compressible fluid * multipolar fluid * measure-valued solution
OECD category: Pure mathematics
http://www.it.cas.cz/fm/im/im/proceeding/2019/5

The aim of the paper is to consider the compressible non-Newtonian fluids of power law type when the viscosity coeffcients depend not only on invariants of velocity field but also on the density. We introduce approximation scheme using model of multipolar fluids. After then passing with higher viscosity to zero we get the measure valued solution of the problem.
Permanent Link: http://hdl.handle.net/11104/0298964