22 citations · 39 across the 9 of their papers we have counts for
5 papers · 1 filter
On the Doi-Edwards and K-BKZ rheological models for polymer fluids: an existence result for shear flows
Ionel Sorin Ciuperca, Arnaud Heibig, Liviu Iulian Palade
This paper establishes the existence of smooth solutions for the Doi-Edwards rheological model of viscoelastic polymer fluids in shear flows. The problem turns out to be formally e…
Fragmentation and monomer lengthening of rod-like polymers, a relevant model for prion proliferation
Ionel Sorin Ciuperca, Erwan Hingant, Liviu Iulian Palade +1
The Greer, Pujo-Menjouet andWebb model [Greer et al., J. Theoret. Biol., 242 (2006), 598-606] for prion dynamics was found to be in good agreement with experimental observations un…
The FENE dumbbell polymer model: existence and uniqueness of solutions for the momentum balance equation
Adriana Valentina Busuioc, Ionel Sorin Ciuperca, Dragos Iftimie +1
We consider the FENE dumbbell polymer model which is the coupling of the incompressible Navier-Stokes equations with the corresponding Fokker-Planck-Smoluchowski di ffusion equatio…
Well posedness of a linearized fractional derivative fluid model
Arnaud Heibig, Liviu Iulian Palade
The one-dimensional fractional derivative Maxwell model (e.g. Palade et al. Rheol. Acta 35, 265, 1996), of importance in modeling the linear viscoelastic response in the glass tran…
The steady state configurational distribution diffusion equation of the standard FENE dumbbell polymer model: existence and uniqueness of solutions for arbitrary velocity gradients
Ionel Sorin Ciuperca, Liviu Iulian Palade
The configurational distribution function, solution of an evolution (diffusion) equation of the Fokker-Planck-Smoluchowski type, is (at least part of) the corner stone of polymer d…