Large data existence theory for unsteady flows of fluids with pressure- and shear-dependent viscosities
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10314010" target="_blank" >RIV/00216208:11320/15:10314010 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.na.2015.07.001" target="_blank" >http://dx.doi.org/10.1016/j.na.2015.07.001</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.na.2015.07.001" target="_blank" >10.1016/j.na.2015.07.001</a>
Alternative languages
Result language
angličtina
Original language name
Large data existence theory for unsteady flows of fluids with pressure- and shear-dependent viscosities
Original language description
A generalization of Navier Stokes' model is considered, where the Cauchy stress tensor depends on the pressure as well as on the shear rate in a power-law-like fashion, for values of the power-law index r is an element of (2d/d+2, 2]. We develop existence of generalized (weak) solutions for the resultant system of partial differential equations, including also the so far uncovered cases r is an element of (2d/d+2, 2d+2/d+2) and r = 2. By considering a maximal sensible range of the power-law index r, theobtained theory is in effect identical to the situation of dependence on the shear rate only.
Czech name
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Czech description
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Classification
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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Result continuities
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>S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Nonlinear Analysis, Theory, Methods and Applications
ISSN
0362-546X
e-ISSN
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Volume of the periodical
127
Issue of the periodical within the volume
November
Country of publishing house
GB - UNITED KINGDOM
Number of pages
34
Pages from-to
94-127
UT code for WoS article
000360935000007
EID of the result in the Scopus database
2-s2.0-84937541925