2 citations · 3 across the 4 of their papers we have counts for
5 papers · 1 filter
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…
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…
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…