7 papers · 1 filter
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…
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…
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…
Global solutions of the one-dimensional compressible Euler equations with nonlocal interactions via the inviscid limit
Jose A. Carrillo, Gui-Qiang G. Chen, Difan Yuan +1
We are concerned with the global existence of finite-energy entropy solutions of the one-dimensional compressible Euler equations with (possibly) damping, alignment forces, and non…
Construction of weak solutions to a pressureless viscous model driven by nonlocal attraction-repulsion
Piotr B. Mucha, Maja Szlenk, Ewelina Zatorska
We analyze the pressureless Navier-Stokes system with nonlocal attraction-repulsion forces. Such systems appear in the context of models of collective behavior. We prove the existe…
Duality solutions to the hard-congestion model for the dissipative Aw-Rascle system
Nilasis Chaudhuri, Muhammed Ali Mehmood, Charlotte Perrin +1
We introduce the notion of duality solution for the hard-congestion model on the real line, and additionally prove an existence result for this class of solutions. Our study revolv…