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math.AP2025
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…
math.AP2025
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…
math.AP2025
Recent advances in the analysis of the dissipative Aw-Rascle system
Ewelina Zatorska
The one-dimensional Aw-Rascle (AR) system has become a cornerstone of macroscopic models for single-lane vehicular traffic. A possible generalization of this model to a multi-dimen…