40 citations · 172 across the 43 of their papers we have counts for
6 papers · 1 filter
On strong dynamics of compressible two-component mixture flow
Tomasz Piasecki, Yoshihiro Shibata, Ewelina Zatorska
We investigate a system describing the flow of a compressible two-component mixture. The system is composed of the compressible Navier-Stokes equations coupled with non-symmetric r…
On long-time asymptotics for viscous hydrodynamic models of collective behavior with damping and nonlocal interactions
José A. Carrillo, Aneta Wróblewska-Kamińska, Ewelina Zatorska
Hydrodynamic systems arising in swarming modelling include nonlocal forces in the form of attractive-repulsive potentials as well as pressure terms modelling strong local repulsion…
Finite-energy solutions for compressible two-fluid Stokes system
Didier Bresch, Piotr B. Mucha, Ewelina Zatorska
We prove existence of global in time weak solutions to a compressible two-fluid Stokes system with a single velocity field and algebraic closure for the pressure law. The constitut…
Finite Volume approximations of the Euler system with variable congestion
Pierre Degond, Piotr Minakowski, Laurent Navoret +1
We are interested in the numerical simulations of the Euler system with variable congestion encoded by a singular pressure. This model describes for instance the macroscopic motion…
Incompressible limit of the Navier-Stokes model with a growth term
Nicolas Vauchelet, Ewelina Zatorska
Starting from isentropic compressible Navier-Stokes equations with growth term in the continuity equation, we rigorously justify that performing an incompressible limit one arrives…
Particle interactions mediated by dynamical networks: assessment of macroscopic descriptions
Julien Barré, José Antonio Carrillo de la Plata, Pierre Degond +2
We provide a numerical study of the macroscopic model of [3] derived from an agent-based model for a system of particles interacting through a dynamical network of links. Assuming…