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math.AP2024
Regular solutions to the dissipative Aw-Rascle system
Nilasis Chaudhuri, Tomasz Piasecki, Ewelina Zatorska
In this paper we prove the local-in-time existence of regular solutions to dissipative Aw-Rascle system with the offset equal to gradient of some increasing and regular function of…
math.AP2024
Non-local dissipative Aw-Rascle model and its relation with Matrix-valued communication in Euler alignment
Nilasis Chaudhuri, Jan Peszek, Maja Szlenk +1
We compare the multi-dimensional generalisation of the Aw-Rascle model with the pressureless Euler-alignment system, in which the communication weight is matrix-valued. Our general…
math.AP2024
On thermally driven fluid flows arising in astrophysics
Nilasis Chaudhuri, Eduard Feireisl, Ewelina Zatorska +1
We consider the Navier-Stokes-Fourier-Poisson system driven by an inhomogeneous temperature distribution on the boundary of an exterior fluid domain. We impose the finite mass cons…