Global existence and uniqueness result for the diffusive Peterlin viscoelastic model

0443537 - MÚ 2016 RIV GB eng J - Článek v odborném periodiku
Lukáčová-Medviďová, M. - Mizerová, H. - Nečasová, Šárka
Global existence and uniqueness result for the diffusive Peterlin viscoelastic model.
Nonlinear Analysis: Theory, Methods & Applications. Roč. 120, June (2015), s. 154-170. ISSN 0362-546X. E-ISSN 1873-5215
Grant CEP: GA ČR GA13-00522S
Institucionální podpora: RVO:67985840
Klíčová slova: Peterlin viscoelastic model * existence * uniqueness
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.125, rok: 2015
http://www.sciencedirect.com/science/article/pii/S0362546X1500070X

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.
Trvalý link: http://hdl.handle.net/11104/0246227