Global existence result for the generalized Peterlin viscoelastic model

0476960 - MÚ 2018 RIV US eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR GA13-00522S
Institucionální podpora: RVO:67985840
Klíčová slova: Peterlin viscoelastic equations * global existence * weak solutions
Obor OECD: Pure mathematics
Impakt faktor: 1.528, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0273363