22 citations · 40 across the 9 of their papers we have counts for
11 papers
A qualitative analysis of a A-monomer model with inflammation processes for Alzheimer's disease
Ionel Ciuperca, Laurent Pujo-Menjouet, Leon Matar-Tine +2
We introduce and study a new model for the progression of Alzheimer's disease incorporating the interactions of A-monomers, oligomers, microglial cells and interleukins with neu…
New Temperature Dependent Configurational Probability Diffusion Equation For Diluted FENE Polymer Fluids: Existence of Solution Results
Ionel Sorin Ciuperca, Liviu Iulian Palade
The theory for the non-isothermal rheology of polymer fluids proposed in [14] used several approximations including the so-called linear gradient approximations for the temperature…
Stationary solutions of the Navier-Stokes-Fourier system in planar domains with impermeable boundary
I. S. Ciuperca, E. Feireisl, M. Jai +1
The existence of weak solutions to the Navier-Stokes-Fourier system describing the stationary states of a compressible, viscous, and heat conducting fluid in bounded 2D-domains is…
Analysis of a cavitation model including bubbles in thin film lubrication
Alfredo Jaramillo, Guy Bayada, Ionel Ciuperca +1
In the lubrication area, which is concerned with thin film flow, cavitation has been considered as a fundamental element to correctly describe the characteristics of lubricated mec…
A rigorous derivation of the stationary compressible Reynolds equation via the Navier-Stokes equations
I. S. Ciuperca, E. Feireisl, M. Jai +1
We provide a rigorous derivation of the compressible Reynolds system as a singular limit of the compressible (barotropic) Navier-Stokes system on a thin domain. In particular, the…
Existence and uniqueness of a density probability solution for the stationary Doi-Edwards equation
Ionel Sorin Ciuperca, Arnaud Heibig
We prove the existence, uniqueness and non negativity of solutions for a nonlinear stationary Doi-Edwards equation. The existence is proved by a perturbation argument. We get the u…
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…
Lack of contact in a lubricated system
Ionel Sorin Ciuperca, José Ignacio Tello
We consider the problem of a rigid surface moving over a flat plane. The surfaces are separated by a small gap filled by a lubricant fluid. The relative position of the surfaces is…
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…