Global existence and uniqueness result for the diffusive Peterlin viscoelastic model

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F15%3A00443537" target="_blank" >RIV/67985840:_____/15:00443537 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.na.2015.03.001" target="_blank" >http://dx.doi.org/10.1016/j.na.2015.03.001</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.na.2015.03.001" target="_blank" >10.1016/j.na.2015.03.001</a>

Result language
angličtina
Original language name
Global existence and uniqueness result for the diffusive Peterlin viscoelastic model
Original language description
The aim of this paper is to present the existence and uniqueness result for the diffusive Peterlin viscoelastic model describing the unsteady behaviour of some incompressible polymeric fluids. The polymers are treated as two beads connected by a nonlinear spring. The Peterlin approximation of the spring force is used to derive the equation for the conformation tensor. The latter is the time evolution equation with spatial diffusion of the conformation tensor. Using the energy estimates we prove global in time existence of a weak solution in two space dimensions. We are also able to show the regularity and consequently the uniqueness of the weak solution.
Czech name
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Czech description
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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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Project
<a href="/en/project/GA13-00522S" target="_blank" >GA13-00522S: Qualitative analysis and numerical solution of problems of flows in generally time-dependent domains with various boundary conditions</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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