Analysis of a viscosity model for concentrated polymers
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F16%3A10332621" target="_blank" >RIV/00216208:11320/16:10332621 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1142/S0218202516500391" target="_blank" >http://dx.doi.org/10.1142/S0218202516500391</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0218202516500391" target="_blank" >10.1142/S0218202516500391</a>
Alternative languages
Result language
angličtina
Original language name
Analysis of a viscosity model for concentrated polymers
Original language description
The paper is concerned with a class of mathematical models for polymeric fluids, which involves the coupling of the Navier-Stokes equations for a viscous, incompressible, constant-density fluid with a parabolic-hyperbolic integro-differential equation describing the evolution of the polymer distribution function in the solvent, and a parabolic integro-differential equation for the evolution of the monomer density function in the solvent. The viscosity coefficient, appearing in the balance of linear momentum equation in the Navier-Stokes system, includes dependence on the shear rate as well as on the weight-averaged polymer chain length. The system of partial differential equations under consideration captures the impact of polymerization and depolymerization effects on the viscosity of the fluid. We prove the existence of global-in-time, large-data weak solutions under fairly general hypotheses.
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>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematical Models and Methods in Applied Sciences
ISSN
0218-2025
e-ISSN
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Volume of the periodical
26
Issue of the periodical within the volume
8
Country of publishing house
SG - SINGAPORE
Number of pages
50
Pages from-to
1599-1648
UT code for WoS article
000378428600005
EID of the result in the Scopus database
2-s2.0-84970003922