Non-Newtonian compressible fluids with stochastic right-hand side

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00643409" target="_blank" >RIV/67985840:_____/25:00643409 - 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>

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
—
Czech description
—

Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Stochastics in Fluids: The 2023 Prague-Sum Workshop Lectures
ISBN
978-3-032-02298-1
ISSN
2510-1374
e-ISSN
—
Number of pages
30
Pages from-to
93-122
Publisher name
Birkhäuser
Place of publication
Cham
Event location
Prague
Event date
Aug 21, 2023
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
—

Similar results(10)