Global existence result for the generalized Peterlin viscoelastic model

0476960 - MÚ 2018 RIV US eng J - Journal Article
Lukáčová-Medviďová, M. - Mizerová, H. - Nečasová, Šárka - Renardy, M.
Global existence result for the generalized Peterlin viscoelastic model.
SIAM Journal on Mathematical Analysis. Roč. 49, č. 4 (2017), s. 2950-2964. ISSN 0036-1410. E-ISSN 1095-7154
R&D Projects: GA ČR GA13-00522S
Institutional support: RVO:67985840
Keywords : Peterlin viscoelastic equations * global existence * weak solutions
OECD category: Pure mathematics
Impact factor: 1.528, year: 2017
http://epubs.siam.org/doi/abs/10.1137/16M1068505

We consider a class of differential models of viscoelastic fluids with diffusive stress. These constitutive models are motivated by Peterlin dumbbell theories with a nonlinear spring law for an infinitely extensible spring. A diffusion term is included in the constitutive model. Under appropriate assumptions on the nonlinear constitutive functions, we prove global existence of weak solutions for large data. For creeping flows and two-dimensional flows, we prove the global existence of a classical solution under stronger assumptions.
Permanent Link: http://hdl.handle.net/11104/0273363