8 papers · 1 filter
Low Mach Number Limit and Convergence Rates for a Compressible Two-Fluid Model with Algebraic Pressure Closure
Yang Li, Mária LukáÄová-MedviÄová, Ewelina Zatorska
We study the low Mach number limit for a viscous compressible two-fluid model with algebraic pressure closure in the three-dimensional torus . The pressure is determi…
On a PDE model for Learning in Stochastic Market Entry Games
Esther Bou Dagher, Misha Perepelitsa, Ewelina Zatorska
We study a continuum model for stochastic reinforcement learning in repeated market entry games. Starting from a discrete-time microscopic learning rule, we derive a Fokker--Planck…
Weak-strong uniqueness for bi-fluid compressible system with algebraic closure
Yang Li, Mária LukáÄová-Medvid'ová, Milan Pokorný +1
We consider a real two-fluid system of compressible viscous fluids with a common velocity field and algebraic closure for the pressure law. The constitutive relation involves densi…
Microscopic derivation of a one-dimensional lubrication model with roughness
Aline Lefebvre-Lepot, Muhammed Ali Mehmood, Charlotte Perrin +1
We derive a hydrodynamic model for the motion of inertial particles with a spherical hard core, interacting through lubrication forces and pairwise repulsive forces. The repulsion…
Anelastic approximation for the degenerate compressible Navier--Stokes equations revisited
Nilasis Chaudhuri, Francesco Fanelli, Yang Li +1
In this paper, we revisit the joint low-Mach and low-Frode number limit for the compressible Navier-Stokes equations with degenerate, density-dependent viscosity. Employing the rel…
Existence and weak-strong uniqueness of measure solutions to Euler-alignment/Aw--Rascle--Zhang model of collective behaviour
Jakub Woźnicki, Ewelina Zatorska
We study the multi-dimensional Euler-alignment system with a matrix-valued communication kernel, motivated by models of anticipation dynamics in collective behaviour. A key feature…