2 citations · 3 across the 4 of their papers we have counts for
4 papers
Nonuniqueness of weak solutions to the dissipative Aw-Rascle model
Nilasis Chaudhuri, Eduard Feireisl, Ewelina Zatorska
We prove nonuniqueness of weak solutions to multi-dimensional generalisation of the Aw-Rascle model of vehicular traffic. Our generalisation includes the velocity offset in a form…
Two-velocity hydrodynamics in fluid mechanics: Part II Existence of global -entropy solutions to compressible Navier-Stokes systems with degenerate viscosities
Didier Bresch, Benoit Desjardins, Ewelina Zatorska
This paper addresses the issue of global existence of so-called -entropy solutions to the Navier-Stokes equations for viscous compressible and barotropic fluids with degenerate…
Two-velocity hydrodynamics in fluid mechanics: Part I Well posedness for zero Mach number systems
Didier Bresch, Vincent Giovangigli, Ewelina Zatorska
In this paper we prove global in time existence of weak solutions to zero Mach number systems arising in fluid mechanics. Relaxing a certain algebraic constraint between the viscos…
Free/Congested Two-Phase Model from Weak Solutions to Multi-Dimensional Compressible Navier-Stokes Equations
Charlotte Perrin, Ewelina Zatorska
We approximate a two--phase model by the compressible Navier-Stokes equations with a singular pressure term. Up to a subsequence, these solutions are shown to converge to a global…