Existence of Global Weak Solutions to Implicitly Constituted Kinetic Models of Incompressible Homogeneous Dilute Polymers
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10139893" target="_blank" >RIV/00216208:11320/13:10139893 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1080/03605302.2012.742104" target="_blank" >http://dx.doi.org/10.1080/03605302.2012.742104</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/03605302.2012.742104" target="_blank" >10.1080/03605302.2012.742104</a>
Alternative languages
Result language
angličtina
Original language name
Existence of Global Weak Solutions to Implicitly Constituted Kinetic Models of Incompressible Homogeneous Dilute Polymers
Original language description
We show the existence of global weak solutions to a general class of kinetic models of homogeneous incompressible dilute polymers. The main new feature of the model is the presence of a general implicit constitutive equation relating the viscous part ofthe Cauchy stress and the symmetric part of the velocity gradient. We consider implicit relations that generate maximal monotone (possibly multivalued) graphs, and the corresponding rate of dissipation is characterized by the sum of a Young function andits conjugate depending on and, respectively. Such a framework is very general and includes, among others, classical power-law fluids, stress power-law fluids, fluids with activation criteria of Bingham or HerschelBulkley type, and shear-rate dependent fluids with discontinuous viscosities as special cases. The appearance of and in all the assumptions characterizing the implicit relationship is fully symmetric. The elastic properties of the flow, characterizing the response of polymer ma
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
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Communications in Partial Differential Equations
ISSN
0360-5302
e-ISSN
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Volume of the periodical
38
Issue of the periodical within the volume
5
Country of publishing house
US - UNITED STATES
Number of pages
43
Pages from-to
882-924
UT code for WoS article
000317346600006
EID of the result in the Scopus database
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