Non-Newtonian Compressible Fluids with Stochastic Right-Hand Side
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F25%3A73633617" target="_blank" >RIV/61989592:15310/25:73633617 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-032-02299-8_3" target="_blank" >http://dx.doi.org/10.1007/978-3-032-02299-8_3</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-032-02299-8_3" target="_blank" >10.1007/978-3-032-02299-8_3</a>
Alternative languages
Result language
angličtina
Original language name
Non-Newtonian Compressible Fluids with Stochastic Right-Hand Side
Original language description
Fluids with shear rate-dependent viscosity form a special class of non-Newtonian fluids that play a crucial role in continuum dynamics. We consider a compressible barotropic flow of such fluids, governed by a generalized Navier-Stokes system. Due to the nonlinearity in the elliptic term, obtaining the existence of weak solutions is challenging. To address this, we introduce the concept of a measure-valued solution, whose existence is established in a very general setting using an abstract theorem on the existence of a Young measure. We also discuss the proof of this key result.
Czech name
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Czech description
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Classification
Type
C - Chapter in a specialist book
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Book/collection name
Stochastics in Fluids
ISBN
978-3-032-02298-1
Number of pages of the result
30
Pages from-to
93-122
Number of pages of the book
226
Publisher name
Birkhäuser
Place of publication
Basel
UT code for WoS chapter
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