On existence of weak solution to a model describing incompressible mixtures with thermal diffusion cross effects
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10314006" target="_blank" >RIV/00216208:11320/15:10314006 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1002/zamm.201300101" target="_blank" >http://dx.doi.org/10.1002/zamm.201300101</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/zamm.201300101" target="_blank" >10.1002/zamm.201300101</a>
Alternative languages
Result language
angličtina
Original language name
On existence of weak solution to a model describing incompressible mixtures with thermal diffusion cross effects
Original language description
We present a model describing unsteady flows of a heat conducting mixture composed from L constituents in two and three dimensional bounded domain. We assume that the flow of the mixture is described only by the barycentric velocity, and that the fluid is non-Newtonian. In addition, we assume that the diffusion flux depends also on the temperature gradient, describing the Soret effect, and that the heat flux depends also on the chemical potentials gradient, describing the Dufour effect. We briefly showunder which assumptions on the constitutive equations the model obeys the first and the second laws of thermodynamics and for a large class of physically well-motivated constitutive relations we establish the existence of a weak solution. For simplicitywe restrict ourselves only onto the linear models, i.e., the diffusion and the heat flux depend linearly on the temperature and chemical potentials gradients. (C) 2014 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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/GA201%2F09%2F0917" target="_blank" >GA201/09/0917: Mathematical and computer analysis of the evolution processes in nonlinear viscoelastic fluid-like materials</a><br>
Continuities
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
ZAMM Zeitschrift für Angewandte Mathematik und Mechanik
ISSN
0044-2267
e-ISSN
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Volume of the periodical
95
Issue of the periodical within the volume
6
Country of publishing house
DE - GERMANY
Number of pages
31
Pages from-to
589-619
UT code for WoS article
000355725900003
EID of the result in the Scopus database
2-s2.0-84930252519